Exponential Function Manipulation - Grade 9
This worksheet focuses on manipulating and understanding exponential functions, including their graphs, properties, and basic transformations.
Includes
Standards
Topics
Exponential Function Manipulation
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following functions represents exponential decay?
f(x) = 3^x
f(x) = (1/2)^x
f(x) = x^2
f(x) = 2x + 1
2. What is the y-intercept of the function y = 4 * 2^x?
(0, 2)
(0, 4)
(0, 8)
(0, 1)
3. In the exponential function f(x) = a * b^x, 'a' represents the and 'b' represents the .
4. If the growth factor 'b' in an exponential function is between 0 and 1, the function represents exponential .
5. Describe how the graph of y = 2^x + 3 differs from the graph of y = 2^x.
6. Graph the function y = 3^x on the coordinate plane below.
7. The domain of an exponential function is all real numbers.
True
False
8. An exponential function always has a horizontal asymptote.
True
False
9. A population of bacteria doubles every hour. If you start with 100 bacteria, write an exponential function to model the population (P) after 't' hours. Then, use your function to find the population after 3 hours.
Related Worksheets
Domain, Range, and End Behavior Worksheet
Explore domain, range, and end behavior of various functions with this comprehensive worksheet for Grade 9 students.
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.