Exponential Function Manipulation Worksheet
A Grade 11 math worksheet focusing on manipulating and understanding exponential functions, including their graphs, properties, and transformations.
Includes
Standards
Topics
Exponential Function Manipulation
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for full credit.
1. Which of the following equations represents an exponential decay function?
y = 3^x
y = (1/2)^x
y = x^2
y = 2x + 1
2. What is the y-intercept of the function f(x) = 4 * (2)^x?
(0, 0)
(0, 2)
(0, 4)
(4, 0)
3. The horizontal asymptote of an exponential function in the form y = a * b^x + k is at y = .
4. If the base 'b' of an exponential function y = a * b^x is between 0 and 1, the function represents exponential .
5. Describe the transformation applied to the parent function f(x) = 2^x to get g(x) = 2^(x - 3) + 5. (Hint: describe horizontal and vertical shifts.)
6. Graph the function y = (1/3)^x on the coordinate plane below.
7. The domain of any exponential function is all real numbers.
True
False
8. An exponential function can have an x-intercept if its asymptote is not at y = 0.
True
False
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