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Transformations of Functions- Unit Review

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Course
Mathematics

Institution
11th Grade

Transformations of Functions practice problems to help create a strong and firm understanding of the concept. Great way to retain better practice and information regarding transforming functions.

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Uploaded on September 19, 2024
Number of pages 4
Written in 2023/2024
Type Class notes
Professor(s) N/a
Contains Grade 11 mathematics transformations of functions

Institution Secondary school
Education 11th Grade
Course Mathematics
School year 3

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Unit Review: Transformations of Functions

1. Given the function f ( x)  x  9  2 determine the following:
a) f (0)  f ( 5) b) 𝑥, if f ( x )  4 c) 𝑓 −1

d) Domain e) Range

2. Given ℎ(𝑥) = {(−3, 0), (−2, 1), (0, −4), (1, 1)}:
a) Is ℎ a function? b) The domain of ℎ c) The range of ℎ

d) ℎ−1 e) Is ℎ−1 a function?

3. Given 𝑓(𝑥) = 𝑥 2 + 5𝑥, write and simplify an expression for:

a) – 𝑓 (𝑥) b) 𝑓 (– 𝑥) c) – 𝑓 (– 𝑥)

4. Write the equation of the transformed function 𝑦 = 𝑥 2 that is reflected in the x-axis, vertically compressed by a factor
1
of 2, horizontally translated 3 units right, and vertically translated 6 units down.

1
5. List the transformations that have been applied to the graph of 𝑦 = 𝑓(𝑥) given 𝑦 = − 3 𝑓(2𝑥) + 4

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