Consider these functions: f(x) = 3 and g(x) = 3+2-5

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 31CR
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Consider these functions:
f(x)
3 and g(x)
=
3x +2_5
=
We see that g(x) is a transformation of f(x). Answer the following questions
Reminders, if needed:
Use the letters inf to represent the infinity symbol.
Use a capital U to represent the union symbol.
1) A list of possible transformations is given below. For g(x), select all that apply.
Enter the letter(s) corresponding to the correct answer choice(s).
If more than one applies, separate the answer choices with a comma:
a. vertical shift upward
e. vertical stretch
f. vertical compression
b. vertical shift downward
c. horizontal shift to the left
g. reflection over the x-axis
d. horizontal shift to the right
h. reflection over the y-axis
2) Find the domain of g(x). Write using interval notation:
3) Find the range of g(x). Write using interval notation:
4) Find the equation of the vertical asymptote (if any) for g(x).
If there is no vertical asymptote, type the word: None
Enter answer:
Transcribed Image Text:Consider these functions: f(x) 3 and g(x) = 3x +2_5 = We see that g(x) is a transformation of f(x). Answer the following questions Reminders, if needed: Use the letters inf to represent the infinity symbol. Use a capital U to represent the union symbol. 1) A list of possible transformations is given below. For g(x), select all that apply. Enter the letter(s) corresponding to the correct answer choice(s). If more than one applies, separate the answer choices with a comma: a. vertical shift upward e. vertical stretch f. vertical compression b. vertical shift downward c. horizontal shift to the left g. reflection over the x-axis d. horizontal shift to the right h. reflection over the y-axis 2) Find the domain of g(x). Write using interval notation: 3) Find the range of g(x). Write using interval notation: 4) Find the equation of the vertical asymptote (if any) for g(x). If there is no vertical asymptote, type the word: None Enter answer:
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