Topics
2. Functions
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AustraliaVIC
VCE 12 Methods 2023

2.02 Transformations of power functions

Lesson
Worksheet
Practice

Interactive practice questions

Does the graphed function have an even or odd power?

Loading Graph...

Odd

A

Even

B
Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min

Does the graphed function have an even or odd power?

Easy
< 1min
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Outcomes

U34.AoS1.2

graphs of the following functions: power functions, y=x^n; exponential functions, y=a^x, in particular y = e^x ; logarithmic functions, y = log_e(x) and y=log_10(x) ; and circular functions, 𝑦 = sin(𝑥) , 𝑦 = cos (𝑥) and 𝑦 = tan(𝑥) and their key features

U34.AoS1.7

the key features and properties of a function or relation and its graph and of families of functions and relations and their graphs

U34.AoS1.14

identify key features and properties of the graph of a function or relation and draw the graphs of specified functions and relations, clearly identifying their key features and properties, including any vertical or horizontal asymptotes

U34.AoS1.10

the concepts of domain, maximal domain, range and asymptotic behaviour of functions

U34.AoS1.18

sketch by hand graphs of polynomial functions up to degree 4; simple power functions, y=x^n where n in N, y=a^x, (using key points (-1, 1/a), (0,1), and (1,a); log x base e; log x base 10; and simple transformations of these

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