Exponential Functions

NZ Level 7 (NZC) Level 2 (NCEA)

Transformations of Exponential Graphs (1 transform only)

Answer the following.

a

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

b

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

c

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

d

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

Easy

Approx 2 minutes

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

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