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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 1 of 9

The exponential function in the adjacent graph has the equation:

A

\(y = {2^x}\)

B

\(y = - {\left( {\dfrac{1}{2}} \right)^x}\)

C

\(y = - {2^x}\)

D

\(y = {\left( {\dfrac{1}{2}} \right)^x}\)

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 2 of 9

The hyperbolic function in the adjacent graph has the equation:

A

\(y = \dfrac{4}{x}\)

B

\(y = - \dfrac{4}{x}\)

C

\(y = \dfrac{1}{{4x}}\)

D

\(y = - \dfrac{1}{{4x}}\)

Answer

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 3 of 9

The points of intersection of the hyperbola \(xy = 2\) and the straight line \(y = x\) are?

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 4 of 9

The current in a simple electrical circuit varies inversely to the resistance. If the current is 90 amps when the resistance is 40 ohms, what is the current when the resistance is 24 ohms?

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 5 of 9

Sketch the graph of \(y = \dfrac{1}{{x - 1}}\)

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 6 of 9

Sketch the graph of \(y = \dfrac{2}{{x + 1}} + 1.\)

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 7 of 9

The number of rabbits in a colony is given by \(N=80{(1.04)^t}\), where \(t\) is in days. How many rabbits were initially in the colony?

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 8 of 9

The points of intersection of the hyperbola \(xy=10\) and the straight line \(3x+2y=16\) are?

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Exponential and Hyperbolic Functions - Revision Quiz 1

Question 9 of 9

The maximum speed (km/h) of a truck going up a hill is inversely proportional to the square of its weight. A truck weighing 4 tonnes can go up a hill at 48km/h. What is the maximum speed at which a truck weighing 5 tonnes can go up the same hill?

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Exponential and Hyperbolic Functions - Questions

Q 1 More Questions

Question 1

The exponential function in the adjacent graph has the equation:

\(y = {2^x}\)

\(y = - {\left( {\dfrac{1}{2}} \right)^x}\)

\(y = - {2^x}\)

\(y = {\left( {\dfrac{1}{2}} \right)^x}\)

Answer Click to reveal

Worked Solution Click to reveal

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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Exponential and Hyperbolic Functions - Revision Quiz 1

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