Algebra 2 Unit 7 Quiz 3

5. Find the inverse. y=x'1/4

y=x'4

6. Find the composition of the function. f(x)=x'1/2 and g(x)=x'4+5 Find g(f(x)).

x'2+5

11. Find the composition of the function. f(x)=1/x and g(x)=1/x'3 Find f(g(x)).

x'3

7. Find the composition of the function. f(x)=square root x and g(x)=x'2-3 Find g(f(x)).

x-3

1. Choose the best answer. In general, the composition of functions is not ___.

Commutative

4. Fill in the table of values.

c f a d

2. Find the inverse. y=x'1/2+4

y=x'2-8x+16

9. Choose the best answer. When we compose functions, we must make sure that the output of the first function is part of the ___ of the second function.

Domain

12. Choose the best answer. If a negative number is added to a radical function, its graph will shift ___ by the value of that number.

Down

10. Choose the best answer. If a positive number is added to the variable of a radical function, its graph will shift to the ___ by the value of that number.

Left

14. Choose the best answer. We expect to see a ___ for the graph of a composition of a function and its inverse function, if the domain of each is all real numbers.

Line

3. Choose the best answer. If the variable of a radical function is multiplied by a number, the graph of the function will be ___ and enlarged by the value of that number.

Stretched

15. Interchange the x and y-values of each ordered pair.

f b h a

8. Find the composition of the function. f(x)=x'3 and g(x)=3 square root x Find g(f(x))

x

13. Find the inverse. y=3 square root x

y=(x'3)