1 The graphs of two functions f and g are shown below. 4y 2 -6 -5 -4 -3 -2 2 3. -2 -3 3D Define a function formula for f using the function g. In other words, express the outputs of f in terms of the outputs of g. O f(x) = g(x-5) f(x) = -g(x+5) O f(x) = -g(x-5) f(x) = g(x)+5 O f(x) = -g(x)-5 3.
1 The graphs of two functions f and g are shown below. 4y 2 -6 -5 -4 -3 -2 2 3. -2 -3 3D Define a function formula for f using the function g. In other words, express the outputs of f in terms of the outputs of g. O f(x) = g(x-5) f(x) = -g(x+5) O f(x) = -g(x-5) f(x) = g(x)+5 O f(x) = -g(x)-5 3.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**1.1**
The graphs of two functions \( f \) and \( g \) are shown below.
[Graph Description]
- The graph displays two parabolic curves on a coordinate plane.
- The function \( g \) is represented by a blue curve, opening upwards, and is located on the left side of the graph, passing through points such as \((x, y) = (-3, 0)\).
- The function \( f \) is represented by a red dashed curve, opening downwards, and is located on the right side of the graph, passing through points such as \((x, y) = (2, 0)\).
- Both curves are symmetrical about their respective vertices.
Define a function formula for \( f \) using the function \( g \). In other words, express the outputs of \( f \) in terms of the outputs of \( g \).
**Multiple Choice Options:**
- ○ \( f(x) = g(x-5) \)
- ○ \( f(x) = -g(x+5) \)
- ○ \( f(x) = -g(x-5) \)
- ○ \( f(x) = g(x)+5 \)
- ○ \( f(x) = -g(x)-5 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2abe7b-4e02-49fb-bdec-3ddd39360040%2F3d47eda0-df05-4f88-91ca-ce37e9cfddb5%2Fm4c2lh9_processed.png&w=3840&q=75)
Transcribed Image Text:**1.1**
The graphs of two functions \( f \) and \( g \) are shown below.
[Graph Description]
- The graph displays two parabolic curves on a coordinate plane.
- The function \( g \) is represented by a blue curve, opening upwards, and is located on the left side of the graph, passing through points such as \((x, y) = (-3, 0)\).
- The function \( f \) is represented by a red dashed curve, opening downwards, and is located on the right side of the graph, passing through points such as \((x, y) = (2, 0)\).
- Both curves are symmetrical about their respective vertices.
Define a function formula for \( f \) using the function \( g \). In other words, express the outputs of \( f \) in terms of the outputs of \( g \).
**Multiple Choice Options:**
- ○ \( f(x) = g(x-5) \)
- ○ \( f(x) = -g(x+5) \)
- ○ \( f(x) = -g(x-5) \)
- ○ \( f(x) = g(x)+5 \)
- ○ \( f(x) = -g(x)-5 \)
![The function \( f \) has a domain of \([0,4]\) and a range of \([0,2]\). Suppose the function \( g \) is defined as \( g(x) = f(x) + 7 \). Determine the domain and range of \( g \).
- ○ Domain of \( g \): \([7,11]\); Range of \( g \): \([7,9]\)
- ○ Domain of \( g \): \([-7,-3]\); Range of \( g \): \([-7,-5]\)
- ○ Domain of \( g \): \([0,4]\); Range of \( g \): \([7,9]\)
- ○ Domain of \( g \): \([7,11]\); Range of \( g \): \([0,2]\)
- ○ Domain of \( g \): \([0,4]\); Range of \( g \): \([-7,-5]\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2abe7b-4e02-49fb-bdec-3ddd39360040%2F3d47eda0-df05-4f88-91ca-ce37e9cfddb5%2Fd7m5ih_processed.png&w=3840&q=75)
Transcribed Image Text:The function \( f \) has a domain of \([0,4]\) and a range of \([0,2]\). Suppose the function \( g \) is defined as \( g(x) = f(x) + 7 \). Determine the domain and range of \( g \).
- ○ Domain of \( g \): \([7,11]\); Range of \( g \): \([7,9]\)
- ○ Domain of \( g \): \([-7,-3]\); Range of \( g \): \([-7,-5]\)
- ○ Domain of \( g \): \([0,4]\); Range of \( g \): \([7,9]\)
- ○ Domain of \( g \): \([7,11]\); Range of \( g \): \([0,2]\)
- ○ Domain of \( g \): \([0,4]\); Range of \( g \): \([-7,-5]\)
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