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7.05 Graphs and transformations of exponential functions

Interactive practice questions

Which of the following exponential functions are increasing functions?

Select the two options that apply.

$y=\left(\frac{3}{5}\right)^x$y=(35)x

A

$y=9\times3^x$y=9×3x

B

$y=3\times\left(0.5\right)^x$y=3×(0.5)x

C

$y=0.2\times2^x$y=0.2×2x

D
Easy
1min

Which of the following graphs of exponential functions rises most steeply?

Easy
< 1min

Consider the graphs of the two exponential functions $P$P and $Q$Q.

Easy
1min
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Outcomes

2.1.5

recognise the qualitative features of the graph of 𝑦 = 𝑎^𝑥 (𝑎>0), including asymptotes, and of its translations 𝑦 = 𝑎^𝑥+𝑏 and 𝑦=𝑎^(𝑥-𝑐)

1.1.27

examine dilations and the graphs of y=c f(x) and y=f(dx)

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