Grade 9 Math: Function Characteristics
Explore key characteristics of functions including domain, range, intercepts, and types of relations.
Includes
Standards
Topics
Function Characteristics Review
Name:
Date:
Score:
Read each question carefully and provide your best answer. Show all work where applicable.
1. Which of the following relations is NOT a function?
{ (1, 2), (2, 3), (3, 4) }
{ (1, 2), (1, 3), (2, 4) }
{ (1, 2), (2, 2), (3, 2) }
{ (1, 1), (2, 2), (3, 3) }
2. What is the domain of the function f(x) = √(x - 3)?
x > 3
x < 3
x ≥ 3
All real numbers
3. The set of all possible input values for a function is called the .
4. The of a function is the set of all possible output values.
5. A function is if each input has exactly one output.
6. Consider the graph of a function shown below. Identify the x-intercept(s) and y-intercept(s).
x-intercept(s):
y-intercept(s):
7. All relations are functions.
True
False
8. The vertical line test can be used to determine if a graph represents a function.
True
False
9. For the function f(x) = 2x - 5:
a) Find f(3).
b) Find the y-intercept.
c) Find the x-intercept.
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