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.
Related Worksheets
Rationalizing Radicals Worksheet
Grade 9 Math worksheet focusing on rationalizing single and binomial denominator radicals.
Solving Square Root Equations
Practice solving square root equations with various levels of complexity. This worksheet covers isolating the radical, squaring both sides, and checking for extraneous solutions.
Zero Product Property Worksheet
Practice solving quadratic equations using the Zero Product Property for Grade 9 algebra.
Simplifying Polynomials Worksheet
Grade 9 Math worksheet focusing on simplifying polynomials through addition, subtraction, and multiplication.
Pascal's Triangle Worksheet
Explore the patterns and properties of Pascal's Triangle, including its construction, binomial coefficients, and relationships to other mathematical concepts.
Solving Three-Step Equations
This worksheet provides practice for grade 9 students in solving linear equations that require three steps.
Elimination Method Worksheet
Practice solving systems of linear equations using the elimination method for Grade 9 students.
Rearranging Equations Worksheet
A Grade 9 math worksheet focusing on rearranging algebraic equations to solve for different variables.