NZ Level 7 (NZC) Level 2 (NCEA)
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Transformations of Exponential Graphs (1 transform only)

Interactive practice questions

Answer the following.

a

Determine the $y$y-intercept of $y=2^x$y=2x.

b

Hence or otherwise determine the $y$y-intercept of $y=2^x-2$y=2x2.

c

Determine the horizontal asymptote of $y=2^x$y=2x.

d

Hence or otherwise determine the horizontal asymptote of $y=2^x-2$y=2x2.

Easy
Approx 2 minutes
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Consider a graph of $y=5^x$y=5x.

Consider a graph of $y=3^x$y=3x.

Of the two functions $y=4^x$y=4x and $y=5^x$y=5x, which increases more rapidly for $x>0$x>0?

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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