Allday Education

Free Evaluating Functions Worksheet

Ten function-notation evaluation problems with an exact answer key.

Answer key included
Name: Date:
Evaluating Functions
1.
Find f(2)f(-2) if f(x)=3x2+5x+8f(x) = 3x^2 + 5x + 8.
2.
Find f(2)f(-2) if f(x)=2x2+3x+1f(x) = 2x^2 + 3x + 1.
3.
Find f(2)f(2) if f(x)=3x2+6x+8f(x) = 3x^2 + 6x + 8.
4.
Find f(1)f(1) if f(x)=4x25x4f(x) = 4x^2 - 5x - 4.
5.
Find f(3)f(3) if f(x)=x2+2x+6f(x) = x^2 + 2x + 6.
6.
Find f(5)f(5) if f(x)=2x2x+8f(x) = 2x^2 - x + 8.
7.
Find f(2)f(-2) if f(x)=4x24x1f(x) = 4x^2 - 4x - 1.
8.
Find f(5)f(5) if f(x)=2x2+x1f(x) = 2x^2 + x - 1.
9.
Find f(3)f(-3) if f(x)=3x23x+3f(x) = 3x^2 - 3x + 3.
10.
Find f(0)f(0) if f(x)=3x2+5x9f(x) = 3x^2 + 5x - 9.
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Evaluating Functions
1.
Find f(2)f(-2) if f(x)=3x2+5x+8f(x) = 3x^2 + 5x + 8.
Answer: f(2)=10f(-2) = 10
2.
Find f(2)f(-2) if f(x)=2x2+3x+1f(x) = 2x^2 + 3x + 1.
Answer: f(2)=3f(-2) = 3
3.
Find f(2)f(2) if f(x)=3x2+6x+8f(x) = 3x^2 + 6x + 8.
Answer: f(2)=32f(2) = 32
4.
Find f(1)f(1) if f(x)=4x25x4f(x) = 4x^2 - 5x - 4.
Answer: f(1)=5f(1) = -5
5.
Find f(3)f(3) if f(x)=x2+2x+6f(x) = x^2 + 2x + 6.
Answer: f(3)=21f(3) = 21
6.
Find f(5)f(5) if f(x)=2x2x+8f(x) = 2x^2 - x + 8.
Answer: f(5)=53f(5) = 53
7.
Find f(2)f(-2) if f(x)=4x24x1f(x) = 4x^2 - 4x - 1.
Answer: f(2)=23f(-2) = 23
8.
Find f(5)f(5) if f(x)=2x2+x1f(x) = 2x^2 + x - 1.
Answer: f(5)=54f(5) = 54
9.
Find f(3)f(-3) if f(x)=3x23x+3f(x) = 3x^2 - 3x + 3.
Answer: f(3)=39f(-3) = 39
10.
Find f(0)f(0) if f(x)=3x2+5x9f(x) = 3x^2 + 5x - 9.
Answer: f(0)=9f(0) = -9
Andy · alldayeverydaymath.com

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About this worksheet

Students evaluate a function at a given input — substituting into f(x) notation, including negative inputs. The function-notation fluency the entire Algebra 2 course assumes.

Replace every occurrence of the input variable, using parentheses around negative inputs. Evaluate powers before multiplication and addition, then compare the result with your substitution line.

Students shaky on the skill itself? Send them to the free lesson: Evaluating Functions — explained step by step.

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