Function Notation Mastery
A Grade 12 mathematics worksheet focusing on understanding and applying function notation, evaluating functions, and interpreting graphs.
Includes
Standards
Topics
Function Notation Mastery
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. If f(x) = 3x - 5, what is the value of f(4)?
7
12
17
2
2. Which of the following represents a function?
x² + y² = 16
y = ±√x
y = |x - 3|
x = 5
3. If g(x) = x² - 2x + 1, then g(-3) = .
4. The input of a function is also known as the .
5. Given the function h(x) = 2x² + 5, find h(a - 1) in simplest form.
6. The vertical line test can be used to determine if a relation is a function.
True
False
7. If f(x) = f(-x), the function is considered an odd function.
True
False
8. Use the graph below to answer the following questions.
a) What is f(0)?
b) For what value(s) of x is f(x) = 2?
c) What is the domain of f(x)?
d) What is the range of f(x)?
9. The cost C (in dollars) of producing x units of a product is given by the function C(x) = 0.5x² + 20x + 500. Find and interpret C(10).