4.9.4Test (TST):Transforming Functions
Test Algebra II Points Possible:
50 Name:Chakylin Ruehling Date:9/27/2019 Answer the following questions using what you've learned from this unit. Write your answers in the space provided. Be sure to show all work. 1.
Show that the function is the inverse of
F
(
x
) = 2
x – 3. Step 1:
The function notation
F
(
x
) can be written as a variable in an equation. Is that variable x or
y
? y Write
F
(
x
) = 2
x – 3 as an equation with your chosen variable.
(2 points) y=2x-3 Step 2:
Switch the variables in the equation from Step 1. Then solve for
y
. Show your work. (2 points)
x=2y-3
x=2y-3 +3
+3 X+3
=
2y
2 2 y =
x+3
2 Step 3:
Show that is the inverse of
F
(
x
) = 2
x – 3. Write your answer in inverse notation.
(2 points) 2.
Graph the inverse of the function, then determine if the inverse is a function. Part I:
The graph of
F
(
x
) is shown below. On the same grid, draw the graph of the inverse of F
(
x
).
(2 points)
Test Algebra II Points Possible:
50 Name:Chakylin Ruehling Date:9/27/2019 Answer the following questions using what you've learned from this unit. Write your answers in the space provided. Be sure to show all work. 1.
Show that the function is the inverse of
F
(
x
) = 2
x – 3. Step 1:
The function notation
F
(
x
) can be written as a variable in an equation. Is that variable x or
y
? y Write
F
(
x
) = 2
x – 3 as an equation with your chosen variable.
(2 points) y=2x-3 Step 2:
Switch the variables in the equation from Step 1. Then solve for
y
. Show your work. (2 points)
x=2y-3
x=2y-3 +3
+3 X+3
=
2y
2 2 y =
x+3
2 Step 3:
Show that is the inverse of
F
(
x
) = 2
x – 3. Write your answer in inverse notation.
(2 points) 2.
Graph the inverse of the function, then determine if the inverse is a function. Part I:
The graph of
F
(
x
) is shown below. On the same grid, draw the graph of the inverse of F
(
x
).
(2 points)
