i need help on question 6: the equation i am using is: f(x) = 4^-x - 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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i need help on question 6: the equation i am using is: f(x) = 4^-x - 2
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A
5. 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 each step.
6. What algebraic process will you use to find the intercepts (x and y) of f (x)? Find the intercepts, showing all work.
7. Graph f- (r) 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:Tool A 5. 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 each step. 6. What algebraic process will you use to find the intercepts (x and y) of f (x)? Find the intercepts, showing all work. 7. Graph f- (r) 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?
PART
WEEK B
COLLABORATIVE ASSIGNMENT
THE FUNCTION FLx) = ÷)*- 2
REWRITE THE FUNCTION
LEUSED THE NEGATIVE EXPONENT IN THISs RULE → a* = ax2
FLX) = (4")* -2
AND THEN USE THE POWER RULE → (ak)Y = a*y,
FEx)= 4(+
FLx) = 41)* - 2
F(x)= 4=*-2
THE FUNCTION IS REWRITTEN WITH INTEGER BASE , THE POWER
RULE FOR EXPONENTS ARE USED
2 THE PARENT FUNCTION IN THE SIMPLEST FORM IS GLx) = 4*
REFLECT ABOUT Y - AXIS
->
AND THERES
VERTICAL POWN SHIFT BY 2 UNITS
- 2
VERTICAL HORIZON TAL
THEN , WE GET F(X) FROM GLx)
ASY MPTO TE
GEx)
AND BECAUSE
y=0
GRAPH OF F(x) = 4-* -2
F(x)
DOMAIN & RANGE
P(x)
DOM AIN SET OF VALUES OF X
FOR WHICH FCX) IS DEFINED
(-00,00)
RANGE: SET OF VALUES OF FLX) ON
0.5
DEFINED X YALUES
(-2, 0)
Transcribed Image Text:PART WEEK B COLLABORATIVE ASSIGNMENT THE FUNCTION FLx) = ÷)*- 2 REWRITE THE FUNCTION LEUSED THE NEGATIVE EXPONENT IN THISs RULE → a* = ax2 FLX) = (4")* -2 AND THEN USE THE POWER RULE → (ak)Y = a*y, FEx)= 4(+ FLx) = 41)* - 2 F(x)= 4=*-2 THE FUNCTION IS REWRITTEN WITH INTEGER BASE , THE POWER RULE FOR EXPONENTS ARE USED 2 THE PARENT FUNCTION IN THE SIMPLEST FORM IS GLx) = 4* REFLECT ABOUT Y - AXIS -> AND THERES VERTICAL POWN SHIFT BY 2 UNITS - 2 VERTICAL HORIZON TAL THEN , WE GET F(X) FROM GLx) ASY MPTO TE GEx) AND BECAUSE y=0 GRAPH OF F(x) = 4-* -2 F(x) DOMAIN & RANGE P(x) DOM AIN SET OF VALUES OF X FOR WHICH FCX) IS DEFINED (-00,00) RANGE: SET OF VALUES OF FLX) ON 0.5 DEFINED X YALUES (-2, 0)
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