honors algebra 2 unit 5 day #1 name...

Honors Algebra 2 – Unit 5 Day #1 Name_______________________________

Homework – Inverse Functions

1. Antonio’s function machine is shown at the right.

a. What is 2 ?A

b. If 81 came out, what was dropped in?

c. If 8 came out, what was dropped in? Round to two decimal places.

2. Write the inverse equation for each of the following:

a. 3 8y x b. 6

2

xy

c. 2 16 49y x

3. The function f x is represented by the graph. Draw the graph of its inverse. State the domain and range for

f x and 1f x.

4. If 10 10x y , what is true about x and y?



5 10–5–10 x

5

10

–5

–10

y

5 10–5–10 x

5

10

–5

–10

y

5. Graph the function. Be sure to include an x/y chart. 1 (3) 2xy

Describe the transformation in words

Domain: Range:

Asymptote(s):

6. Graph the function. Be sure to include an x/y chart. 4 2 1y x

Describe the transformation in words

Domain: Range:

Asymptote(s):

Solve the following equations.

7. 6

2 15 5

x 8.

24 3 1 8 72x



9. 2 4 7 12 10 8x x 10. 5 4 2 8 12x

11. 7 5 x x 12. 416 625 0x

13. Let ( ) 4 1f x x and 2( ) 3 5 7g x x x

a. Find ( 2)f g b. Find ( ( ))f g x c. Find ( ( ))g f x

d. If 5g x , what is the value(s) of x?



Simplify without your calculator.

14.

34 8716,384

15.

3 2

4 31296 1728

625 125

16.

3 2

10 91024 512

1,048,576 19,683

17.

14 6

10

5

3

117,649

46,656

x

x

18.

28

3 334

4

15

62

x yx

x y

19. Rewrite in radical form. 20. Rewrite in exponential form.

Simplify the radical if necessary. All variables should be in the numerator

29 127

8 1644x y z

221

32

4

4

5

2

32

x y

z

honors algebra 2 unit 5 day #1 name...

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