Exponential Functions Quiz
Questions: 16 · 10 minutes
1. An exponential pattern has y-values 2, 6, and 18 at x-values 0, 1, and 2, respectively. If the pattern continues, what is the y-value at x = 3?
24
36
54
20
2. A population is modeled by P = 500(1.08^t), where t is measured in years. What annual growth rate does the model use?
1.08%
8%
80%
108%
3. What value of x satisfies 4^x = 64?
2
3
4
16
4. At x = 0, how do the values of y = 2^x and y = 3^x compare?
2^x has the greater value
3^x has the greater value
They have the same value
Their values cannot be compared without a graph
5. For the function y = 3(2^x), what is the y-value when x = 0?
0
3
2
6
6. How is the graph of y = 2^x transformed to produce y = 2^x + 4?
It shifts 4 units up
It shifts 4 units right
It shifts 4 units down
It shifts 4 units left
7. Which statement correctly describes the domain and range of y = 2^x?
The domain is x > 0, and the range is all real numbers
The domain and range are both all real numbers
The domain is all real numbers, and the range is y > 0
The domain is x ≥ 0, and the range is y ≥ 1
8. Which model represents a starting amount of 400 that decreases by 12% each period?
A = 400(0.88^t)
A = 400 - 0.12t
A = 400(0.12^t)
A = 400(1.12^t)
9. Which equation defines an exponential function of x?
y = 5(2^x)
y = 2x + 5
y = x² + 5
y = 5/x
10. A 200-milligram amount of medicine is modeled by M = 200(0.75^t), where t is measured in hours. How much remains after 2 hours?
87.5 milligrams
150 milligrams
100 milligrams
112.5 milligrams
11. What is the value of f(2) if f(x) = 2(3^x)?
36
12
18
81
12. What type of function is the inverse of an exponential function with a valid positive base other than 1?
A quadratic function
A reciprocal function
A linear function
A logarithmic function
13. What is the horizontal asymptote of y = 5(2^x) - 3?
x = -3
y = 5
x = 5
y = -3
14. A colony begins with 50 bacteria and doubles every 3 hours. How many bacteria does the model predict after 9 hours?
300 bacteria
400 bacteria
450 bacteria
800 bacteria
15. Plan A starts at 100 units and adds 50 units each year. Plan B starts at 100 units and grows by 50% each year. What happens after 2 years?
Both plans reach 200 units
Plan A reaches 225 units, while Plan B reaches 200 units
Both plans reach 225 units
Plan A reaches 200 units, while Plan B reaches 225 units
16. A machine worth $1,000 retains 90% of its value each year. According to V = 1000(0.9^t), after how many years is it worth $729?
3 years
2.5 years
2 years
4 years