Topics
7. Exponential and Logarithmic Functions
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AustraliaVIC
VCE 11 Methods 2023

7.05 Transformations of exponential functions

Lesson
Worksheet
Practice

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
Medium
1min

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

Medium
< 1min

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

Medium
1min
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Outcomes

U1.AoS1.7

the effect of transformations of the plane, dilation, reflection in axes, translation and simple combinations of these transformations, on the graphs of functions

U1.AoS1.13

describe the effect of transformations on the graphs of relations and functions

U1.AoS2.9

representations of points and transformations

U1.AoS2.5

transformations of the plane and application to basic functions and relations by simple combinations of dilations (students should be familiar with both ‘parallel to an axis’ and ‘from an axis’ descriptions), reflections in an axis and translations (matrix representation may be used but is not required)

U2.AoS1.19

sketch by hand the unit circle, graphs of the sine, cosine and exponential functions, and simple transformations of these to the form Af(bx)+c , sketch by hand graphs of log_a(x) and the tangent function, and identify any vertical or horizontal asymptotes

U2.AoS1.15

the effect of transformations of the plane on the graphs of sine, cosine, tangent and exponential functions

U2.AoS1.21

describe the effect of transformations of the plane on the graphs of the sine, cosine, tangent and exponential functions

U2.AoS1.7

exponential functions of the form f(x)=A a^(kx) + c and their graphs

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