Logarithmic Functions
New Zealand
Level 7 - NCEA Level 2
Find the Equation of a Logarithm Function (y=klogx+c)
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
e
Hence state the equation of the logarithmic graph drawn.
Easy
4min
Consider the function $f\left(x\right)=e^x$f(x)=ex.
Easy
2min
The graph of $f\left(x\right)=\log x$f(x)=logx (grey) and $g\left(x\right)$g(x) (black) is drawn below.
Easy
1min
The graph of $f\left(x\right)=\log x$f(x)=logx (grey) and $g\left(x\right)$g(x) (black) is drawn below.
$g\left(x\right)$g(x) is a transformation of $f\left(x\right)$f(x).
Easy
1min
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