10th Grade Function Notation, Composites and Inverses Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 10th Grade functions worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Functions10th Grade Function Notation, Composites and Inverses Worksheet — Level 1 — Answers
f(x) notation means "the value of the function at x". For a composite, substitute the inner function into the outer one. For an inverse, swap x and y and solve for y.
1.If f(x) = −3x + 5, find f(1).
Answer: 2
- Replace x with 1: −3(1) + 5
- = 2
2.If f(x) = x2 − 4x − 3, find f(5).
Answer: 2
- Replace x with 5: (5)2 − 4(5) − 3
- = 2
3.If f(x) = 3x − 5, find f(−3).
Answer: −14
- Replace x with −3: 3(−3) − 5
- = −14
4.If f(x) = −3x2 − 4x + 4, find f(1).
Answer: −3
- Replace x with 1: −3(1)2 − 4(1) + 4
- = −3
5.If f(x) = 2x2 + 4x − 3, find f(3).
Answer: 27
- Replace x with 3: 2(3)2 + 4(3) − 3
- = 27
6.If f(x) = 3x2 + 2x − 8, find f(−2).
Answer: 0
- Replace x with −2: 3(−2)2 + 2(−2) − 8
- = 0
7.If f(x) = −5x + 7, find f(−1).
Answer: 12
- Replace x with −1: −5(−1) + 7
- = 12
8.If f(x) = −3x, find f(1).
Answer: −3
- Replace x with 1: −3(1)
- = −3
9.If f(x) = x2 − 2x + 6, find f(4).
Answer: 14
- Replace x with 4: (4)2 − 2(4) + 6
- = 14
10.If f(x) = 4x2 − 5x − 8, find f(−2).
Answer: 18
- Replace x with −2: 4(−2)2 − 5(−2) − 8
- = 18
11.If f(x) = 2x2 + 3x − 8, find f(−4).
Answer: 12
- Replace x with −4: 2(−4)2 + 3(−4) − 8
- = 12
12.If f(x) = 2x2 + 3x + 6, find f(3).
Answer: 33
- Replace x with 3: 2(3)2 + 3(3) + 6
- = 33
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