assignment 2.1 relations and functionsassignment 2.1 relations and functions taxi ride a taxi...
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![Page 1: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/1.jpg)
Assignment 2.1 Relations and Functions
![Page 2: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/2.jpg)
Assignment 2.1 Relations and Functions
![Page 3: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/3.jpg)
Assignment 2.1 Relations and Functions
![Page 4: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/4.jpg)
Assignment 2.1 Relations and Functions
![Page 5: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/5.jpg)
Assignment 2.1 Relations and Functions
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Is the relation discrete or continuous?
{(6, 3), (2, 1), (-2, 3)}
Graph:
Domain: { -2,2,6}
Range: { 1,3 }
It _______ a function. A) is B) is not
It is _____________ .
A) discrete B) continuous
{(-5, 2), (2, 4), (1, 1), (-5, -2)}
Graph:
Domain: { -5,1,2}
Range: { -2,1,2,4}
It _____ a function. A) is B) is not It is ___________.
A) discrete B) continuous
Choice Strategy
![Page 6: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/6.jpg)
Assignment 2.1 Relations and Functions
y = 0.5x
x y -2 -1 = 0.5 ● -2 -1 -0.5 = 0.5 ● -1 0 0 = 0.5 ● 0 1 0.5 = 0.5 ● 1 2 1 = 0.5 ● 2
Graph:
Domain: { x = IR }
Range: {y = IR }
y = 2x + 1
x y -2 -3 = 2 ● -2 + 1 -1 -1 = 2 ● -1 + 1 0 1 = 2 ● 0 + 1 1 3 = 2 ● 1 + 1 2 5 = 2 ● 2 + 1
Graph:
Domain: { x = IR }
Range: { y = IR }
It _________ a function.
A) is B) is not
It is ________________.
A) continuous B) discrete
It ____ a function. A) is B) is not
It is __________________.
A) discrete B) continuous
Choice Strategy
![Page 7: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/7.jpg)
Assignment 2.1 Relations and Functions
Find each value if f(x) = 5x – 9.
f(6) = 21
= 5(6) – 9 = 30 - 9 =
f(6)=
f(-2)
= 5(-2) – 9 = -19 = -10 - 9 =
f(-2)=
f(y) = 5r
= 5(y) – 9 = - 9
f(y)= - 9
f(-2v)
= 5(-2v) – 9 = -10v = - 9
f(-2v)= - 9
5 ● 6 = 30 30 - 9 =
5 ● -2 = 10 -10 - 9 =
5 ● -2v =
5 ● y =
YES
NO
YES
NO
YES
NO
YES
NO
Choice Strategy
![Page 8: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/8.jpg)
Assignment 2.1 Relations and Functions
TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount a passenger will be charged can be expressed as f(x) = 1.20 + 1.60x, when x ≥ 1. Graph this equation and find the domain and range. Then determine whether the equation is a function. Is the equation discrete or continuous?
x f(x) 1 2.80 2 4.80 3 6.40 4 8.00
Graph:
Domain: x = IR
Range: f(x) = IR
= 1.60 ● 1 + 1.20 = 1.60 ● 2 + 1.20 = 1.60 ● 3 + 1.20 = 1.60 ● 4 + 1.20
f(x)
x
It ____ a function.
A) is B) is not
It is ______________.
A) discrete B) continuous
Choice Strategy
![Page 9: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/9.jpg)
Assignment 2.1 Relations and Functions
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Is the relation discrete or continuous?
{(6, 3), (2, 1), (-2, 3)}
Graph:
Domain: { , , }
Range: { , }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
{(-5, 2), (2, 4), (1, 1), (-5, -2)}
Graph:
Domain: { , , }
Range: { , , , }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Closed Strategy
![Page 10: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/10.jpg)
Assignment 2.1 Relations and Functions
y = 0.5x
x y -2 ____ = 0.5 ● -2 -1 ____ = 0.5 ● -1 0 ____ = 0.5 ● 0 1 ____ = 0.5 ● 1 2 ____ = 0.5 ● 2
Graph:
Domain: { x = IR }
Range: {y = IR }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
y = 2x + 1
x y -2 ___ = 2 ● -2 + 1 -1 ___ = 2 ● -1 + 1 0 ___ = 2 ● 0 + 1 1 ___ = 2 ● 1 + 1 2 ___ = 2 ● 2 + 1
Graph:
Domain: { x = IR }
Range: { y = IR }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Closed Strategy
![Page 11: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/11.jpg)
Assignment 2.1 Relations and Functions
Find each value if f(x) = 5x – 9.
f(6)
= 5(6) – 9 = - 9 =
f(6)=
f(-2)
= 5(-2) – 9 = - 9 =
f(-2)=
f(y)
= 5(y) – 9 = - 9
f(y)= - 9
f(-2v)
= 5(-2v) – 9 = - 9
f(-2v)= - 9
5 ● 6 = -9 =
5 ● -2 = -9 =
5 ● -2v =
5 ● y =
Closed Strategy
![Page 12: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/12.jpg)
Assignment 2.1 Relations and Functions
TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount a passenger will be charged can be expressed as f(x) = 1.20 + 1.60x, when x ≥ 1. Graph this equation and find the domain and range. Then determine whether the equation is a function. Is the equation discrete or continuous?
x f(x) 1 2 3 4
Graph:
Domain: x = IR
Range: f(x) = IR
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
____ = 1.60 ● 1 + 1.20 ____ = 1.60 ● 2 + 1.20 ____ = 1.60 ● 3 + 1.20 ____ = 1.60 ● 4 + 1.20
f(x)
x
Closed Strategy
![Page 13: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/13.jpg)
Assignment 2.1 Relations and Functions
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Is the relation discrete or continuous?
Graph: {(6, 3), (2, 1), (-2, 3)}
Domain: { ____ ,____ ,____ }
Range: { ____ ,____ }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Graph: {(-5, 2), (2, 4), (1, 1), (-5, -2)}
Domain: {___,___ ,___}
Range: {___,___ ,___ ,___}
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Closed Last Step Strategy
![Page 14: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/14.jpg)
Assignment 2.1 Relations and Functions
y = 0.5x
x y -2 -1 = 0.5 ● -2 -1 -0.5 = 0.5 ● -1 0 0 = 0.5 ● 0 1 0.5 = 0.5 ● 1 2 1 = 0.5 ● 2
Graph:
Domain: { x = IR }
Range: {y = IR }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
y = 2x + 1
x y -2 -3 = 2 ● -2 + 1 -1 -1 = 2 ● -1 + 1 0 1 = 2 ● 0 + 1 1 3 = 2 ● 1 + 1 2 5 = 2 ● 2 + 1
Graph:
Domain: { x = IR }
Range: { y = IR }
It _______ (is or is not) a function. It is _____________ (discrete or continuous).
Closed Last Step Strategy
![Page 15: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/15.jpg)
Assignment 2.1 Relations and Functions
Find each value if f(x) = 5x – 9.
f(6)
= 5(6) – 9 = 30 - 9 =
f(6)=
f(-2)
= 5(-2) – 9 = 10 - 9 =
f(-2)=
f(y)
= 5(y) – 9 = - 9
f(y)= - 9
f(-2v)
= 5(-2v) – 9 = - 9
f(-2v)= - 9
5 ● 6 = 30 30 -9 =
5 ● -2 = -10 -10 -9 =
5 ● -2v =
5 ● y =
Closed Last Step Strategy
![Page 16: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/16.jpg)
Assignment 2.1 Relations and Functions
TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount a passenger will be charged can be expressed as f(x) = 1.20 + 1.60x, when x ≥ 1. Graph this equation and find the domain and range. Then determine whether the equation is a function. Is the equation discrete or continuous?
x f(x) 1 2 3 4
Graph:
Domain: x = IR
Range: f(x) = IR
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
2.80 = 1.60 ● 1 + 1.20 4.80 = 1.60 ● 2 + 1.20 6.40 = 1.60 ● 3 + 1.20 8.00 = 1.60 ● 4 + 1.20
f(x)
x
Closed Last Step Strategy
![Page 17: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/17.jpg)
Assignment 2.1 Relations and Functions
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Is the relation discrete or continuous?
{(6, 3), (2, 1), (-2, 3)}
{(-5, 2), (2, 4), (1, 1), (-5, -2)}
y = 0.5x
y = 2x + 1
Find each value if f(x) = 5x – 9.
f(6)
f(-2)
f(y)
f(-2v)
TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount a passenger will be charged can be expressed as f(x) = 1.20 + 1.60x, when x ≥ 1. Graph this equation and find the domain and range. Then determine whether the equation is a function. Is the equation discrete or continuous?
Open-Ended
![Page 18: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/18.jpg)
Assignment 2.1 Relations and Functions
Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Is the relation discrete or continuous?
{(6, 3), (2, 1), (-2, 3)}
Graph:
Domain: { }
Range: { }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
{(-5, 2), (2, 4), (1, 1), (-5, -2)}
Graph:
Domain: { }
Range: { }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Visual Organization Strategy
![Page 19: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/19.jpg)
Assignment 2.1 Relations and Functions
y = 0.5x
x y -2 -1 0 1 2
Graph:
Domain: { }
Range: { }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
y = 2x + 1
x y -2 -1 0 1 2
Graph:
Domain: { }
Range: { }
It _______ (is or is not) a function.
It is _____________ (discrete or continuous).
Visual Organization Strategy
![Page 20: Assignment 2.1 Relations and FunctionsAssignment 2.1 Relations and Functions TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount](https://reader033.vdocuments.mx/reader033/viewer/2022051807/6004f65e12d69c018a5ac7d8/html5/thumbnails/20.jpg)
Assignment 2.1 Relations and Functions
Find each value if f(x) = 5x – 9.
f(6)
= 5( ) – 9 = =
f(6)=
f(-2)
= 5( ) – 9 = =
f(-2)=
f(y)
= 5( ) – 9 =
f(y)=
f(-2v)
= 5( ) – 9 =
f(-2v)=
TAXI RIDE A taxi company charges $2.80 for the first mile and $1.60 for each additional mile. The amount a passenger will be charged can be expressed as f(x) = 1.20 + 1.60x, when x ≥ 1. Graph this equation and find the domain and range. Then determine whether the equation is a function. Is the equation discrete or continuous?
Visual Organization Strategy