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Algebra and Trigonometry (6th Edition)
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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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**Graphing Functions: Exercises**

Welcome to the graphing functions exercise page. Here, you will find the exercises and corresponding graphs that will help you understand and practice graphing functions over the domain of real numbers.

### Graph each function for the domain of real numbers:

1. **\( y = x^2 - 3 \)**
   This exercise graph represents a parabola that opens upwards with its vertex at the point (0, -3).

![Graph 1](#)

2. **\( y = -2x + 5 \)**
   This is a linear function with a negative slope. The graph represents a straight line crossing the y-axis at (0, 5) and the x-axis at (2.5, 0).

![Graph 2](#)

3. **\( y = x^2 - 2 \)**
   Similar to the first exercise, this graph represents a parabola that opens upwards, but with the vertex at (0, -2).

![Graph 3](#)

4. **\( y = \frac{1}{2}x + 3 \)**
   This is another linear function. The graph represents a straight line with a positive slope, crossing the y-axis at (0, 3) and passing through points such as (2, 4).

![Graph 4](#)

### Additional Exercise:
- **Graph the points (-2, 3), (-1, 0), (0, -1), (1, 0), and (2, 3). Draw a smooth curve through the points.**

For the additional exercise, you are required to plot the given points on a coordinate graph and draw a smooth curve that best fits through all the points. 

![Additional Exercise Graph](#)

By plotting these functions and understanding their graphical representation, you will gain a better insight into the behavior of various types of equations. Practice regularly to enhance your graphing skills!
Transcribed Image Text:**Graphing Functions: Exercises** Welcome to the graphing functions exercise page. Here, you will find the exercises and corresponding graphs that will help you understand and practice graphing functions over the domain of real numbers. ### Graph each function for the domain of real numbers: 1. **\( y = x^2 - 3 \)** This exercise graph represents a parabola that opens upwards with its vertex at the point (0, -3). ![Graph 1](#) 2. **\( y = -2x + 5 \)** This is a linear function with a negative slope. The graph represents a straight line crossing the y-axis at (0, 5) and the x-axis at (2.5, 0). ![Graph 2](#) 3. **\( y = x^2 - 2 \)** Similar to the first exercise, this graph represents a parabola that opens upwards, but with the vertex at (0, -2). ![Graph 3](#) 4. **\( y = \frac{1}{2}x + 3 \)** This is another linear function. The graph represents a straight line with a positive slope, crossing the y-axis at (0, 3) and passing through points such as (2, 4). ![Graph 4](#) ### Additional Exercise: - **Graph the points (-2, 3), (-1, 0), (0, -1), (1, 0), and (2, 3). Draw a smooth curve through the points.** For the additional exercise, you are required to plot the given points on a coordinate graph and draw a smooth curve that best fits through all the points. ![Additional Exercise Graph](#) By plotting these functions and understanding their graphical representation, you will gain a better insight into the behavior of various types of equations. Practice regularly to enhance your graphing skills!
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