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Graph both the parent function and f (r) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at cach step.

Graph both the parent function and f (r) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at cach step.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 83E
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i need number 5, the equation im using: f(x) = 4^x - 2
PART I WEEK COLLABORATIVE ASSIGNMENT THE FUNCTION FLx) = ÷)*-2 REWRITE THE FUNCTION IUSED THE NEGATIVE EXPONENT IN THIS RULE FLX) = (4")* -2. AND THEN USE THE POWER RULE → (a*)Y = a*Y, FLx) = 461)*_ 2 F(x)= 4-* - 2 THE FUNCTION IS REWRITTEN WITH INTEGER BASE 4, THE POWER RULE FOR EXPONENTS ARE USED THE PARENT FUNCTION IN THE SIMPLEST FORM is Glx) = 4* REFLECT ABOUT y- AxIs > 4* VERTICAL DOWN SHIFT BY 2 UNITS → 4* -2 THEN , WE GET F(X) FROM GLx) G(x) GRAPH OF FLx)= 4.X-2 4 F(x) i4 DOMAIN & RANGE DOMAIN SET OF VALUES OF X FOR WHICH F(X) 15 DEFINED (-00,00) 0.5 RANGE: SET OF VALUES OF FLX) ON DEFINED X YALUES (-2, 0)
Transcribed Image Text:PART I WEEK COLLABORATIVE ASSIGNMENT THE FUNCTION FLx) = ÷)*-2 REWRITE THE FUNCTION IUSED THE NEGATIVE EXPONENT IN THIS RULE FLX) = (4")* -2. AND THEN USE THE POWER RULE → (a*)Y = a*Y, FLx) = 461)*_ 2 F(x)= 4-* - 2 THE FUNCTION IS REWRITTEN WITH INTEGER BASE 4, THE POWER RULE FOR EXPONENTS ARE USED THE PARENT FUNCTION IN THE SIMPLEST FORM is Glx) = 4* REFLECT ABOUT y- AxIs > 4* VERTICAL DOWN SHIFT BY 2 UNITS → 4* -2 THEN , WE GET F(X) FROM GLx) G(x) GRAPH OF FLx)= 4.X-2 4 F(x) i4 DOMAIN & RANGE DOMAIN SET OF VALUES OF X FOR WHICH F(X) 15 DEFINED (-00,00) 0.5 RANGE: SET OF VALUES OF FLX) ON DEFINED X YALUES (-2, 0)
5. Graph both the parent function and f (x) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at each step. 6. What algebraic process will you use to find the intercepts (a and y) of f (x)? Find the intercepts, showing all work. 7. Graph f-1 (x) on the same coordinate axes, labeling the points corresponding to those you labeled on the graph of f (x), and labeling any asymptotes. Explain how you got your graph using properties of inverses. What is the domain and range? Why?
Transcribed Image Text:5. Graph both the parent function and f (x) on the same coordinate system, labeling at least three points on the parent function and labeling where those points moved to under the transformations, and labeling any asymptotes for both. Describe how you know where the points and asymptotes move at each step. 6. What algebraic process will you use to find the intercepts (a and y) of f (x)? Find the intercepts, showing all work. 7. Graph f-1 (x) on the same coordinate axes, labeling the points corresponding to those you labeled on the graph of f (x), and labeling any asymptotes. Explain how you got your graph using properties of inverses. What is the domain and range? Why?
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