Exponential Function Manipulation
A Grade 10 math worksheet focusing on understanding and manipulating exponential functions, including growth, decay, and transformations.
Includes
Standards
Exponential Function Manipulation
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Read each question carefully and provide your 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 y = 4 * (2)^x?
(0, 1)
(0, 2)
(0, 4)
(0, 8)
3. In the exponential function y = a * b^x, 'a' represents the and 'b' represents the .
4. If an exponential function has a base 'b' such that 0 < b < 1, the function represents exponential .
5. Describe the transformation applied to the graph of y = 2^x to obtain the graph of y = 2^(x+3).
6. Write an exponential function that passes through the points (0, 5) and (1, 15).
7. The domain of any exponential function is all real numbers.
True
False
8. An exponential function can have a horizontal asymptote at y = x.
True
False
9. Graph the function y = 3^(x-1) on the coordinate plane below.