Back to 3.5 Transformation of Functions

3.5 Exercise 80

Avg difficulty 2.5

Tabular representations for the functions f,g, f , g , and h h are given below. Write g(x) g \left(x\right) and h(x) h \left(x\right) as transformations of f(x). f \left(x\right) .

x x −2 −1 0 1 2
f(x) f \left(x\right) −2 −1 −3 1 2
x x −1 0 1 2 3
g(x) g \left(x\right) −2 −1 −3 1 2
x x −2 −1 0 1 2
h(x) h \left(x\right) −1 0 −2 2 3

OpenStax Algebra and Trigonometry 2e, 3.5 Transformation of Functions, exercise 80

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.