Function Notation Practice
This worksheet provides practice problems on understanding and applying function notation for Grade 11 students.
Includes
Standards
Topics
Function Notation Practice
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Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Given the function f(x) = 3x - 5, find:
a) f(2)
b) f(-4)
c) f(0)
2. If g(x) = x² + 2x - 1, evaluate:
a) g(3)
b) g(-1)
3. In the function notation f(x), 'f' represents the of the function, and 'x' represents the .
4. If f(x) = 7, this means the value of the function is 7 when the input is x.
5. The statement f(a) = b means that when the input to the function f is 'a', the output is ' '.
6. Which of the following statements is true about function notation?
f(x) means f multiplied by x.
f(x) represents the output of the function when the input is x.
f(x) is an equation that always equals zero.
f(x) can only be used for linear functions.
7. If h(t) = 5t - 8, what is the value of h(t) when t = 2?
2
18
-2
8
8. Given f(x) = 2x + 1, find x when f(x) = 9.
9. If g(x) = x² - 3, find x when g(x) = 13 (consider both positive and negative solutions).
10. The notation f(x) is always equivalent to y.
True
False
11. If f(x) = x + 5, then f(a+1) = a + 6.
True
False