NZ Level 6 (NZC) Level 1 (NCEA)
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Intro to Exponential Functions (y=a^x, a^-x)

Interactive practice questions

Which of the following are exponential functions?

Select all the correct options.

$y=x^5$y=x5

A

$y=2x+5$y=2x+5

B

$y=2^x$y=2x

C

$y=x^e$y=xe

D

$y=\left(\frac{3}{4}\right)^x$y=(34)x

E

$y=e^x$y=ex

F

$y=x^5$y=x5

A

$y=2x+5$y=2x+5

B

$y=2^x$y=2x

C

$y=x^e$y=xe

D

$y=\left(\frac{3}{4}\right)^x$y=(34)x

E

$y=e^x$y=ex

F
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Consider the equation $y=3^x$y=3x.

Consider the function $y=3^x$y=3x.

Consider the function $y=3^{-x}$y=3x.

Outcomes

NA6-3

Apply everyday compounding rates

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91026

Apply numeric reasoning in solving problems

91028

Investigate relationships between tables, equations and graphs

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