# Modelling Curves using Logarithms

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Logarithms Learning Material
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Tutorial
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Revision
Questions
13.3Modelling Curves using Logarithms

## Modelling Curves using Logarithms Revision Questions

1. . Which of the following is NOT a function?

1. x2 + y2 = 9
2. x + y = 9
3. x2 + y = 9
4. x · y = 9

2. . Which of the following figures does NOT show the graph of a function?

3. . Which of the following exponential functions has a graph with an opposite orientation to the other three?

1. y(x) = 2 · 5x
2. y(x) = ½ · 4x
3. y(x) = 3 · 2x
4. y(x) = 4 · (1/2)x

4. . What is the value of the coefficient k in the exponential function y(x) = k · ax shown by the graph below?

1. 0
2. 1
3. 2
4. 3

5. . What is the base b of the function y(x) = k · bx shown in the figure below?

1. 4
2. 5
3. 6
4. 7

6. . Which of the following graphs does NOT show a logarithmic function?

7. . What is the logarithmic function indicated by the graph below?

1. y(x) = log x
2. y(x) = log3 x
3. y(x) = 3 log x
4. y(x) = log (x/3)

8. . What is the value of b for the logarithmic function y(x) = b · log x indicated by the graph below?

1. -4
2. -2
3. 2
4. 4

9. . A modelled curve of the function y(x) = k · xn is shown in the graph below.

What is the value of the exponent n?

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

10. . A modelled curve of the function y(x) = k · xn is shown in the graph below.

What is the value of the coefficient k?

1. 1
2. 2
3. 5
4. 9

11. . Which of the following lines represent the function y(x) = 3x2 after modelling the curve?

1. log y = log 3x + 2 log x
2. log y = log 3 + 2 log x
3. log y = log 3 + x log 2
4. log y = log 3 + log x + log 2

12. . Which of the following lines represent the function y(x) = 0.5 · 4x after modelling the curve?

1. log y = log 2 + x log 4
2. log y = x log 4 - log 2
3. log y = log 0.5 + 4 log x
4. log y = log 0.5 - x log 4

13. . What is the equation of the line obtained after modelling the curve of the function shown by the data below?

1. y(x) = 0.6 x2
2. log y = log 15 - 2 log x
3. log y = 0.6 log x + log 2
4. log y = 2 log x - log 6

14. . What is the equation of the line obtained after modelling the curve of the function shown by the data below?

1. y = 1.2 · 5x
2. log y = log 1.2 + x · log 5
3. y = 1.2 + 5x
4. log y = log 1.2 + 5 log x

15. . What is the original function shown by the table below used for modelling the curve?

1. y(x) = 3-2x
2. y(x) = -3x-2
3. y(x) = -3x2
4. y(x) = -3 · 2x

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3. Logarithms Video tutorial: Modelling Curves using Logarithms. Watch or listen to the Modelling Curves using Logarithms video tutorial, a useful way to help you revise when travelling to and from school/college
4. Logarithms Revision Notes: Modelling Curves using Logarithms. Print the notes so you can revise the key points covered in the math tutorial for Modelling Curves using Logarithms
5. Check your calculations for Logarithms questions with our excellent Logarithms calculators which contain full equations and calculations clearly displayed line by line. See the Logarithms Calculators by iCalculator™ below.
6. Continuing learning logarithms - read our next math tutorial: Natural Logarithm Function and Its Graph

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