NZ Level 7 (NZC) Level 2 (NCEA)
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Find the Equation of a Logarithm Function

Interactive practice questions

Consider the function $F\left(x\right)=2^x$F(x)=2x.

a

Graph the function.

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b

Add the line $y=x$y=x to the graph.

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c

By reflecting points on the curve $F\left(x\right)=2^x$F(x)=2x over the line $y=x$y=x, draw the inverse of $F\left(x\right)=2^x$F(x)=2x.

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d

What sort of graph have you drawn?

Quadratic

A

Reciprocal

B

Logarithmic

C

Exponential

D

Quadratic

A

Reciprocal

B

Logarithmic

C

Exponential

D
e

Hence state the equation of the logarithmic graph drawn.

Easy
Approx 5 minutes
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Consider the function $f\left(x\right)=\left(\frac{1}{5}\right)^x$f(x)=(15)x.

Consider the function $f\left(x\right)=e^x$f(x)=ex.

Consider the function $f\left(x\right)=5\times2^x$f(x)=5×2x shown in the graph.

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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