Math Questions 15.5 - Exponential Graphs

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Exponential Graphs Revision Questions

Reveal AnswerCorrect Answer: A

1. . Which of the following is NOT an exponential function?

1. y(x) = x² + e
2. y(x) = e^x/3
3. y(x) = -0.3^2x + 5
4. y(x) = 0.4^2x

Reveal AnswerCorrect Answer: A

2. . Which is the parent function of y(x) = 4^2x + 5?

1. y(x) = 4^2x + 5
2. y(x) = 4^x + 5
3. y(x) = 2^2x
4. y(x) = 4x

Reveal AnswerCorrect Answer: D

3. . Which is TRUE about the exponential function y(x) = 3 · 5^2x + 1?

1. The coefficient k is 1
2. The function is decreasing
3. The parent function is y(x) = 5
4. The asymptote is y = 1

4. . What is the coefficient k in the function y(x) = 2 · 3^{4x + 5} - 1 when expressed in the form

1. 2
2. 10
3. 243
4. 486

Reveal AnswerCorrect Answer: D

5. . What is the y-intercept of the exponential function graph

1. 1
2. 4
3. 5
4. 13

Reveal AnswerCorrect Answer: D

6. . What is the x-intercept of the exponential function graph

1. -6
2. -3
3. 0
4. 6

Reveal AnswerCorrect Answer: B

7. . The figure below shows two exponential graphs A and B where A is the parent graph of B.

Which of the following is FALSE for the two functions A and B shown by the two lines in the graph?

1. The asymptote of the function B is y = -3
2. The k-coefficient of function A is 1
3. The t-coefficient of the function B is -3
4. The two graphs intercept at x = 5

Reveal AnswerCorrect Answer: D

8. . What is the function shown in the graph below?

1. y = 2^x
2. y = 3^x
3. y = 2^x - 1
4. y = 3^x - 1

Reveal AnswerCorrect Answer: C

9. . The graph below shows the function y = a^x.

Which of the following graphs shows the function y(x) = (1/a)^x?

Reveal AnswerCorrect Answer: A

10. . A radioactive sample taken by a soil contains 120 particles/mm³. The area becomes safe if the number of particles falls under 3 particles per mm³. Therefore, the local authorities decide to ban planting that soil until this is safe. The function that shows the number of decayed radioactive particles as a function of time in years is given by the following graph.

After how many years the local authorities will allow the farmers to plant the soil?

1. After 1 year
2. After 2.5 years
3. After 5 years
4. After 7.5 years

Reveal AnswerCorrect Answer: B

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2. Types of Graphs Math tutorial: Exponential Graphs. Read the Exponential Graphs math tutorial and build your math knowledge of Types of Graphs
3. Types of Graphs Revision Notes: Exponential Graphs. Print the notes so you can revise the key points covered in the math tutorial for Exponential Graphs
4. Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
5. Continuing learning types of graphs - read our next math tutorial: Circle Graphs

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