Back to 6.2 Graphs of Exponential Functions

6.2 Exercise 70

Avg difficulty 2.5

Explore and discuss the graphs of F(x)= ( b ) x F \left(x\right) = \left(b\right)^{x} and G(x)= ( 1 b ) x . G \left(x\right) = \left(\frac{1}{b}\right)^{x} . Then make a conjecture about the relationship between the graphs of the functions b x b^{x} and ( 1 b ) x \left(\frac{1}{b}\right)^{x} for any real number b>0. b > 0.

OpenStax Algebra and Trigonometry 2e, 6.2 Graphs of Exponential Functions, exercise 70

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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.