6.2: Practice Progress savec Score: 96.39/200 12/20 answered Question 19 E0/10 F The graph of the function f(x) = 7* - 7 can be obtained from the graph of g(x) = 7* by one of the following actions: (a) shifting the graph of g(x) to the right 7 units; (b) shifting the graph of g(x) to the left 7 units; (c) shifting the graph of g(x) upward 7 units; (d) shifting the graph of g(x) downward 7 units; (e) reflecting the graph of g(x) in the a-axis; (f) reflecting the graph of g(x) in the y-axis; Your answer is (input a, b, c, d, e, or f) Is the domain of the function f(x) still (- 00, 00)? Your answer is (input Yes or No) The range of the function f(x) is (A, ), the value of A is Question Help: D Video Submit Question Jump to Answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 20E
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The image shows an online assessment page from MyOpenMath, specifically for a course titled MAT 129 - AL1/CL1. The section indicated is "6.2: Practice," with a score display of "96.39/200" and "12/20 answered."

**Question 19** is displayed:

The problem describes a function transformation:
- The graph of the function \( f(x) = 7^x - 7 \) is derived from the graph of \( g(x) = 7^x \) through one of several transformations:

Options for transformations are given as:
(a) Shifting the graph of \( g(x) \) to the right 7 units.
(b) Shifting the graph of \( g(x) \) to the left 7 units.
(c) Shifting the graph of \( g(x) \) upward 7 units.
(d) Shifting the graph of \( g(x) \) downward 7 units.
(e) Reflecting the graph of \( g(x) \) over the x-axis.
(f) Reflecting the graph of \( g(x) \) over the y-axis.

There are fields for user input:
- Your answer is (input a, b, c, d, e, or f).
- Is the domain of the function \( f(x) \) still \( (-\infty, \infty) \)?
  - Your answer is (input Yes or No).

- The range of the function \( f(x) \) is \( (A, \infty) \), the value of \( A \) is:
  - (input box provided for the value of \( A \)).

Additional options:
- "Submit Question" button for submitting answers.
- "Jump to Answer" option.
- A "Question Help" section is available with a video link indicated by an icon.

No graphs or diagrams are visible on the page.
Transcribed Image Text:The image shows an online assessment page from MyOpenMath, specifically for a course titled MAT 129 - AL1/CL1. The section indicated is "6.2: Practice," with a score display of "96.39/200" and "12/20 answered." **Question 19** is displayed: The problem describes a function transformation: - The graph of the function \( f(x) = 7^x - 7 \) is derived from the graph of \( g(x) = 7^x \) through one of several transformations: Options for transformations are given as: (a) Shifting the graph of \( g(x) \) to the right 7 units. (b) Shifting the graph of \( g(x) \) to the left 7 units. (c) Shifting the graph of \( g(x) \) upward 7 units. (d) Shifting the graph of \( g(x) \) downward 7 units. (e) Reflecting the graph of \( g(x) \) over the x-axis. (f) Reflecting the graph of \( g(x) \) over the y-axis. There are fields for user input: - Your answer is (input a, b, c, d, e, or f). - Is the domain of the function \( f(x) \) still \( (-\infty, \infty) \)? - Your answer is (input Yes or No). - The range of the function \( f(x) \) is \( (A, \infty) \), the value of \( A \) is: - (input box provided for the value of \( A \)). Additional options: - "Submit Question" button for submitting answers. - "Jump to Answer" option. - A "Question Help" section is available with a video link indicated by an icon. No graphs or diagrams are visible on the page.
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