shape & space 1
DESCRIPTION
Shape & Space 1. SOME FUNCTIONS AND THEIR GRAPHS. Prerequisites. Sketch a graph of the linear function that has a slope of -2 / 3 and a y-intercept of 5. Consider the function y = - (x + 1) 2 + 4. a) Draw the graph of this function. b) Identify the x- and y- intercepts. - PowerPoint PPT PresentationTRANSCRIPT
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SOME FUNCTIONS AND THEIR GRAPHS
Shape & Space 1
![Page 2: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/2.jpg)
Prerequisites
Sketch a graph of the linear function that has a slope of -2/3 and a y-intercept of 5.
Consider the function y = - (x + 1)2 + 4. a) Draw the graph of this function. b) Identify the x- and y- intercepts. c) What are the domain and range of this function?
Consider . a) Evaluate: i) f(3) ii) f(-1) b) Explain why f(-6) cannot be determined.
f (x) 2x 3
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Answers to Prerequisites
#1
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Answers to Prerequisites continued
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Answers to Prerequisites continued
#3
![Page 6: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/6.jpg)
Some Functions and Graphs You Should
Already Know
![Page 7: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/7.jpg)
Linear Functions
![Page 8: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/8.jpg)
Linear Example
C 750 20n
Number of yearbooks
Tota
l C
ost
($)
![Page 9: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/9.jpg)
Quadratic Functions
![Page 10: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/10.jpg)
Quadratic Example
h 4.9t 2
Time (s)
Heig
ht
(m)
![Page 11: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/11.jpg)
Reciprocal Functions
![Page 12: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/12.jpg)
Reciprocal Example
Annual Interest rate
Am
ou
nt
($)
A100
i
![Page 13: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/13.jpg)
Square Root Function
![Page 14: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/14.jpg)
Square Root Example
d 113 h
Height (km)
Dis
tan
ce (
km
)
![Page 15: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/15.jpg)
Absolute Value Function
![Page 16: Shape & Space 1](https://reader031.vdocuments.mx/reader031/viewer/2022012922/568134d8550346895d9c07d0/html5/thumbnails/16.jpg)
Textwork
p. 10/ 1-9Challenge: p.12/ 10-11