Domain, Range, and End Behavior Worksheet
Explore domain, range, and end behavior of various functions with this comprehensive worksheet for Grade 9 students.
Includes
Standards
Topics
Domain, Range, and End Behavior
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work where applicable.
1. For the function shown in the graph below, determine the domain and range.
Domain:
Range:
2. Complete the statements describing the end behavior for the given functions:
a) For f(x) = x², as x → ∞, f(x) → . As x → -∞, f(x) → .
b) For g(x) = -x³, as x → ∞, g(x) → . As x → -∞, g(x) → .
3. Which of the following functions has a domain of all real numbers?
f(x) = √(x - 2)
g(x) = 1/x
h(x) = |x|
k(x) = log(x)
4. Consider the function y = -2x + 5.
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the end behavior of this function as x approaches positive and negative infinity.
5. Determine if the following statements are true or false:
a) The range of the function f(x) = x² is [0, ∞).
True
False
b) For an exponential function f(x) = a^x (where a > 1), as x → -∞, f(x) → 0.
True
False
Related Worksheets
Exponential Function Manipulation - Grade 9
This worksheet focuses on manipulating and understanding exponential functions, including their graphs, properties, and basic transformations.
Grade 9 Math: Function Relations
This worksheet focuses on understanding and identifying function relations, including domain, range, and different representations of functions for Grade 9 Math students.
Function Composition Practice
Practice worksheet for understanding and performing function composition at a Grade 9 level.
Transformation of Graphs Worksheet
Grade 9 math worksheet on understanding and applying transformations to various functions including translations, reflections, and dilations.
Parent Functions and Transformations Worksheet
Explore parent functions and their transformations including translations, reflections, and dilations with this Grade 9 math worksheet.
Grade 9 Function Notation Worksheet
This worksheet covers evaluating functions, understanding function notation, and interpreting function relationships for Grade 9 Math.
Domain and Range Worksheet
Explore the concepts of domain and range for various functions, including graphs, equations, and real-world scenarios.
Grade 9 Function Graphs Worksheet
Explore function graphs at a Grade 9 level, including linear, quadratic, and exponential functions, domain, range, and intercepts.