Suppose the functions f and g are defined by y = f(x) = 5*+1 -1 and y = g(x) = 5× respectively. (2.1) Explain the steps of the transformation process that you would apply to the graph of g to obtain the graph of f. (2.2) Write down the sets that represent the domain and the range of the function f, and the equation of the asymptote of the graph of f. (2.3) Sketch the graph of f, including the asymptote represented by a broken line. Label the horizontal and vertical axes, and the x– and y-intercepts (if any exist). (2.4) Determine the equation that defines the inverse function f-1. (2.5) Show that (f of-1) (x) = x and (f-1 o f) (x) = X
Suppose the functions f and g are defined by y = f(x) = 5*+1 -1 and y = g(x) = 5× respectively. (2.1) Explain the steps of the transformation process that you would apply to the graph of g to obtain the graph of f. (2.2) Write down the sets that represent the domain and the range of the function f, and the equation of the asymptote of the graph of f. (2.3) Sketch the graph of f, including the asymptote represented by a broken line. Label the horizontal and vertical axes, and the x– and y-intercepts (if any exist). (2.4) Determine the equation that defines the inverse function f-1. (2.5) Show that (f of-1) (x) = x and (f-1 o f) (x) = X
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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