From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the gridlines.) (f + g)(0) (0)(6 - ) (fg)(0) ()の) %3D I|||
From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the gridlines.) (f + g)(0) (0)(6 - ) (fg)(0) ()の) %3D I|||
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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![### Identifying Function Values from Graphs (Educational Resource)
#### Problem Statement:
From the graphs of \( f \) and \( g \) in the figure below, determine the following expressions at \( x = 0 \). (Assume that each point lies on the gridlines.)
1. \((f + g)(0) =\) [______]
2. \((f - g)(0) =\) [______]
3. \((fg)(0) =\) [______]
4. \(\left(\frac{f}{g}\right)(0) =\) [______]
#### Graph Description:
- The graph includes two functions, \( f \) and \( g \), plotted on the same set of axes with gridlines.
- The function \( f \) is represented by a red curve.
- The function \( g \) is represented by a blue curve.
**Axes Labeled:**
- The horizontal axis is labeled as \( x \).
- The vertical axis is labeled as \( y \).
**Gridlines and Values:**
- The graph features standard Cartesian coordinates where the gridlines intersect at integer values.
- The point where \( x = 0 \) is of primary interest for each function.
#### Observations at \( x = 0 \):
- Value of \( f(0) = 1 \)
- Value of \( g(0) = 2 \)
#### Calculations:
1. \((f + g)(0) = f(0) + g(0) = 1 + 2 = 3\)
2. \((f - g)(0) = f(0) - g(0) = 1 - 2 = -1\)
3. \((fg)(0) = f(0) \times g(0) = 1 \times 2 = 2\)
4. \(\left(\frac{f}{g}\right)(0) = \frac{f(0)}{g(0)} = \frac{1}{2} = 0.5\)
### Final Results:
- \((f + g)(0) = 3\)
- \((f - g)(0) = -1\)
- \((fg)(0) = 2\)
- \(\left(\frac{f}{g}\right)(0) = 0.5\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f4719ec-89c6-49f2-a8fd-c905fe776b01%2F14349829-de95-46c9-84de-04279a9134a2%2F64qn8wd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Identifying Function Values from Graphs (Educational Resource)
#### Problem Statement:
From the graphs of \( f \) and \( g \) in the figure below, determine the following expressions at \( x = 0 \). (Assume that each point lies on the gridlines.)
1. \((f + g)(0) =\) [______]
2. \((f - g)(0) =\) [______]
3. \((fg)(0) =\) [______]
4. \(\left(\frac{f}{g}\right)(0) =\) [______]
#### Graph Description:
- The graph includes two functions, \( f \) and \( g \), plotted on the same set of axes with gridlines.
- The function \( f \) is represented by a red curve.
- The function \( g \) is represented by a blue curve.
**Axes Labeled:**
- The horizontal axis is labeled as \( x \).
- The vertical axis is labeled as \( y \).
**Gridlines and Values:**
- The graph features standard Cartesian coordinates where the gridlines intersect at integer values.
- The point where \( x = 0 \) is of primary interest for each function.
#### Observations at \( x = 0 \):
- Value of \( f(0) = 1 \)
- Value of \( g(0) = 2 \)
#### Calculations:
1. \((f + g)(0) = f(0) + g(0) = 1 + 2 = 3\)
2. \((f - g)(0) = f(0) - g(0) = 1 - 2 = -1\)
3. \((fg)(0) = f(0) \times g(0) = 1 \times 2 = 2\)
4. \(\left(\frac{f}{g}\right)(0) = \frac{f(0)}{g(0)} = \frac{1}{2} = 0.5\)
### Final Results:
- \((f + g)(0) = 3\)
- \((f - g)(0) = -1\)
- \((fg)(0) = 2\)
- \(\left(\frac{f}{g}\right)(0) = 0.5\)
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