functions and absolute value
DESCRIPTION
Unit One Test Review. Functions and Absolute Value. For the test, I need to know how to…. Find the domain and range of a function given its graph Perform operations on functions (add, subtract, multiply, divide) Compose two functions Find and verify inverses Graph absolute value functions - PowerPoint PPT PresentationTRANSCRIPT
FUNCTIONS AND ABSOLUTE VALUE
Unit One Test Review
FOR THE TEST, I NEED TO KNOW HOW TO…
Find the domain and range of a function given its graph
Perform operations on functions (add, subtract, multiply, divide)
Compose two functions
Find and verify inverses
Graph absolute value functions
Solve absolute value equations and inequalities
DOMAIN AND RANGE
FIND THE DOMAIN
-1 1 2 3 4 5 6 7 8
-5
-4
-3
-2
-1
1
2
3
x
y
FIND THE DOMAIN
-3 -2 -1 1 2 3 4 5 6
-6
-5
-4
-3
-2
-1
1
2
x
y
FIND THE DOMAIN
-5 -4 -3 -2 -1 1 2 3 4
-7
-6
-5
-4
-3
-2
-1
1
x
y
FIND THE DOMAIN AND RANGE
-7 -6 -5 -4 -3 -2 -1 1
-5
-4
-3
-2
-1
1
2
3
x
y
FIND THE DOMAIN AND RANGE
-3 -2 -1 1 2 3 4 5 6
-3
-2
-1
1
2
3
4
5
x
y
FUNCTION OPERATIONS
F(X) = 3X – 5 G(X) = -2X + 1
Find f(x) – g(x)
F(X) =X²+ 1 G(X) = X – 5
Find f(g(x))
F(X) = 3X – 5 G(X) = -2X + 1
Find g(f(-3))
F(X) = 3X – 5 G(X) = -2X + 1
Find f(x) g(x)
F(X) =X²+ 1 G(X) = X – 5
Find g(f(x))
INVERSE FUNCTIONS
VERIFY THAT THE TWO FUNCTIONS ARE INVERSES
F(x) = 0.5x + 4F -1(x) = 2x – 8
FIND THE INVERSE FUNCTION
y = x2 + 4
FIND THE INVERSE FUNCTION
y = 3x +7
FIND THE INVERSE FUNCTION
y = -2x + 6
GRAPHING ABSOLUTE VALUE
FIND THE VERTEX POINT
y = -2|x – 4| + 5
FIND THE VERTEX POINT
y = 3|2x + 6| - 1
DESCRIBE THE TRANSFORMATIONS
y = -|x + 3| - 8
GRAPH THE FUNCTION
y = 2|x + 4| - 7
GRAPH THE FUNCTION
y = -|x – 1| + 5
SOLVING ABSOLUTE VALUE
SOLVE THE EQUATION
7 = 2|x – 3| + 1
SOLVE THE EQUATION
4x + 3 = |2x – 3|
GRAPH THE SOLUTION TO THE INEQUALITY
2|x – 6| < 20
GRAPH THE SOLUTION TO THE INEQUALITY
|2x – 8| > x + 5