Modelling Curves using Logarithms

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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

Reveal AnswerCorrect Answer: A

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

Reveal AnswerCorrect Answer: C

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

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

Reveal AnswerCorrect Answer: D

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

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

Reveal AnswerCorrect Answer: C

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

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

Reveal AnswerCorrect Answer: B

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

Reveal AnswerCorrect Answer: D

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)

Reveal AnswerCorrect Answer: C

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

Reveal AnswerCorrect Answer: A

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

Reveal AnswerCorrect Answer: B

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

Reveal AnswerCorrect Answer: A

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

Reveal AnswerCorrect Answer: B

12. . Which of the following lines represent the function y(x) = 0.5 · 4^x 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

Reveal AnswerCorrect Answer: B

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

Reveal AnswerCorrect Answer: D

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

Reveal AnswerCorrect Answer: B

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 · 2^x

Reveal AnswerCorrect Answer: D

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2. Logarithms Math tutorial: Modelling Curves using Logarithms. Read the Modelling Curves using Logarithms math tutorial and build your math knowledge of Logarithms
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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