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)=4x2−5x−4f(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)=2x2−x+8f(x) = 2x^2 - x + 8.
7.
Find f(−2)f(-2) if f(x)=4x2−4x−1f(x) = 4x^2 - 4x - 1.
8.
Find f(5)f(5) if f(x)=2x2+x−1f(x) = 2x^2 + x - 1.
9.
Find f(−3)f(-3) if f(x)=3x2−3x+3f(x) = 3x^2 - 3x + 3.
10.
Find f(0)f(0) if f(x)=3x2+5x−9f(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)=4x2−5x−4f(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)=2x2−x+8f(x) = 2x^2 - x + 8.
Answer: f(5)=53f(5) = 53
7.
Find f(−2)f(-2) if f(x)=4x2−4x−1f(x) = 4x^2 - 4x - 1.
Answer: f(−2)=23f(-2) = 23
8.
Find f(5)f(5) if f(x)=2x2+x−1f(x) = 2x^2 + x - 1.
Answer: f(5)=54f(5) = 54
9.
Find f(−3)f(-3) if f(x)=3x2−3x+3f(x) = 3x^2 - 3x + 3.
Answer: f(−3)=39f(-3) = 39
10.
Find f(0)f(0) if f(x)=3x2+5x−9f(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.

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