Day 1: Function Notation HOMEWORK Name:

1. List 2 OTHER names for x values: ______________________________ or ________________________________ 2. List 2 OTHER names for y or f(x) values: _____________________________ or _____________________________

3. In 1-2 sentences, describe a function:

4. Given the function, complete the table 5. Given the function, complete the table

Given the following inputs, find the output:

6. 7.

Given the following outputs, find the input(s):

8. 9.

x h(x)

-2

-1

0

1

2

x f(x)

0

4

9

16

25

f(x) = x3 - 1

x = 2

k(x) =

x = -4

g(x) =

g(?) = -7

k(x) =

k(?) = 19

f(x) =

h(x) =

Questions (10-13) are asking the same questions as (6-9) without providing the picture of the “function machine.”

(10-11) Find the value of the function at the given value of x.

10. k(x) = 2

+ 43

x when x = 9 11. s(x) = 3x when x = -2

(12-13) Find the value of x so that the function has the given value

12. f(x) = 3 - 5x when f(x) = 10 13. h(x) = 1

42

x when h(x) = -8

(14-16) Which of the following mappings represent functions? If it is not a function, explain why.

14. 15. 16.

(17-19) Which of the following tables represent functions? If it is not a function, explain why.

17. 18. 19.

Input Output

5 9

6 11

7 13

8 15

Input Output

1 4

2 4

3 8

4 12

Input Output

1 4

2 8

3 12

3 16

10

20

30

40

2

3

4

5

Input Output

0

5

10

1

2

3

4

Input (x) Output (y)

0

5

10

2

3

4

Input Output