by felicia77
Dive into the fascinating world of exponential functions and their graphical representations. This quiz will challenge your understanding of how these functions behave, transform, and interact with other mathematical concepts. Whether you’re a math enthusiast or a student looking to sharpen your skills, this quiz is designed to provide a stimulating experience. Ready to graph your way to success?
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
Exponential Function Graph Quiz Questions Overview
1. What is the general form of an exponential function?
y = mx + b
y = a * b^x
y = ax^2 + bx + c
y = a * log(x)
2. Which of the following is the graph of y = 2^x?
A straight line
A parabola
An upward-sloping curve
A downward-sloping curve
3. What is the y-intercept of the graph y = 3^x?
0
1
3
Undefined
4. Which transformation occurs when the function y = 2^x is changed to y = 2^(x-1)?
Shifted 1 unit up
Shifted 1 unit down
Shifted 1 unit to the left
Shifted 1 unit to the right
5. What is the horizontal asymptote of the function y = 5^x?
y = 0
y = 1
y = 5
y = ∞
6. How does the graph of y = 2^(-x) compare to y = 2^x?
It is reflected over the x-axis
It is reflected over the y-axis
It is shifted up
It is shifted down
7. Which of the following represents an exponential decay function?
y = 3^x
y = 2^x
y = (1/2)^x
y = x^3
8. What happens to the graph of y = 2^x when it is changed to y = 2^(x) + 3?
Shifted 3 units up
Shifted 3 units down
Shifted 3 units to the left
Shifted 3 units to the right
9. Which of the following is the inverse function of y = 2^x?
y = log_2(x)
y = 2^(-x)
y = x^2
y = e^x
10. What is the effect of the transformation y = -2^x on the graph of y = 2^x?
Reflected over the x-axis
Reflected over the y-axis
Shifted up
Shifted down
11. What is the range of the function y = 3^x?
y > 0
y ≥ 0
y < 0
y ≤ 0
12. If y = 4^x, what is the value of y when x = -2?
1/16
1/4
1/2
4
13. Which of the following functions represents exponential growth?
y = 0.5^x
y = -2^x
y = 3^x
y = -0.5^x
14. What is the domain of the function y = 2^x?
x > 0
x ≥ 0
x < 0
All real numbers
15. What is the base of the natural exponential function?
2
e
10
π
16. What is the effect of the transformation y = 2^(x+1) on the graph of y = 2^x?
Shifted 1 unit up
Shifted 1 unit down
Shifted 1 unit to the left
Shifted 1 unit to the right
17. Which of the following represents the exponential function y = 2^x shifted 2 units down?
y = 2^x – 2
y = 2^x + 2
y = 2^(x-2)
y = 2^(x+2)
18. What is the effect of the transformation y = 3 * 2^x on the graph of y = 2^x?
Shifted 3 units up
Shifted 3 units down
Stretched vertically by a factor of 3
Compressed vertically by a factor of 3
19. What is the effect of the transformation y = 2^(-x+1) on the graph of y = 2^x?
Reflected over the x-axis and shifted 1 unit to the right
Reflected over the y-axis and shifted 1 unit to the right
Reflected over the y-axis and shifted 1 unit to the left
Reflected over the x-axis and shifted 1 unit to the left
20. Which of the following functions represents exponential decay with a base of 1/3?
y = 3^x
y = (1/3)^x
y = -3^x
y = -1/3^x
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
