Function Worksheets - Free Printable

I'll solve this function table evaluation worksheet step by step.

Part A: Evaluate each function from the table

Problem 1:
Table shows: x = -4, 2, 7, 10 with f(x) = 6, 11, 0, 14

i) f(-4): Look for x = -4 in the table. When x = -4, f(x) = 6
f(-4) = 6

ii) f(7): Look for x = 7 in the table. When x = 7, f(x) = 0
f(7) = 0

Problem 2:
Table shows: x = 5, 8, 13, 19 with f(x) = 37, -13, -55, 22

i) f(13): Look for x = 13 in the table. When x = 13, f(x) = -55
f(13) = -55

ii) f(8): Look for x = 8 in the table. When x = 8, f(x) = -13
f(8) = -13

Problem 3:
Table shows: x = -17, -16, -11, 3 with f(x) = -27, -17, 1, 29

i) f(3): Look for x = 3 in the table. When x = 3, f(x) = 29
f(3) = 29

ii) f(-17): Look for x = -17 in the table. When x = -17, f(x) = -27
f(-17) = -27

Problem 4:
Table shows: x = 0, 4, 10, 14 with f(x) = -16, 99, 0, -8

i) f(4): Look for x = 4 in the table. When x = 4, f(x) = 99
f(4) = 99

ii) f(14): Look for x = 14 in the table. When x = 14, f(x) = -8
f(14) = -8

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Part B: Evaluate the functions from the table

Problem 1:
Table shows two functions f(x) and g(x):
- x = 6: f(x) = 35, g(x) = 19
- x = 13: f(x) = -19, g(x) = 5
- x = 15: f(x) = 8, g(x) = 23

i) f(13): Look for x = 13, find f(x). When x = 13, f(x) = -19
f(13) = -19

ii) f(6): Look for x = 6, find f(x). When x = 6, f(x) = 35
f(6) = 35

iii) g(15): Look for x = 15, find g(x). When x = 15, g(x) = 23
g(15) = 23

iv) g(13): Look for x = 13, find g(x). When x = 13, g(x) = 5
g(13) = 5

v) For what value of x, f(x) is 35?
Look for f(x) = 35 in the table. This happens when x = 6
x = 6

vi) For what value of x, g(x) is 5?
Look for g(x) = 5 in the table. This happens when x = 13
x = 13

Problem 2:
Table shows two functions f(x) and g(x):
- x = -6: f(x) = -24, g(x) = 14
- x = 1: f(x) = 4, g(x) = -4
- x = 4: f(x) = 16, g(x) = 10

i) f(4): Look for x = 4, find f(x). When x = 4, f(x) = 16
f(4) = 16

ii) g(1): Look for x = 1, find g(x). When x = 1, g(x) = -4
g(1) = -4

iii) g(4): Look for x = 4, find g(x). When x = 4, g(x) = 10
g(4) = 10

iv) g(-6): Look for x = -6, find g(x). When x = -6, g(x) = 14
g(-6) = 14

v) For what value of x, f(x) is -24?
Look for f(x) = -24 in the table. This happens when x = -6
x = -6

vi) For what value of x, f(x) is 4?
Look for f(x) = 4 in the table. This happens when x = 1
x = 1

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Final Answer:

Part A:
1) i) f(-4) = 6
ii) f(7) = 0

2) i) f(13) = -55
ii) f(8) = -13

3) i) f(3) = 29
ii) f(-17) = -27

4) i) f(4) = 99
ii) f(14) = -8

Part B:
1) i) f(13) = -19
ii) f(6) = 35
iii) g(15) = 23
iv) g(13) = 5
v) x = 6
vi) x = 13

2) i) f(4) = 16
ii) g(1) = -4
iii) g(4) = 10
iv) g(-6) = 14
v) x = -6
vi) x = 1