PP Section 1.5

# PP Section 1.5 - Graphs and Graphing Utilities Definition...

This preview shows pages 1–9. Sign up to view the full content.

Graphs and Graphing Utilities

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Definition and Example The graph of an equation in two variables x and y consists of the set of points in the xy-plane whose coordinates (x,y) satisfy the equation. Example:  Since 5 = 2(2) + 1, the point (2, 5) is on the  graph of the equation y = 2x + 1
Graph y x = - + 3 5 Example : x = 0 y = -3(0) + 5 = 5 x = 1 y = -3(1) + 5 = -3 + 5 = 2 x = 5 y = -3(5) + 5 = -15 + 5 = -10 x = -1 y = -3(-1) + 5 = 3 + 5 = 8 x y 0 5 1 2 5 -10 -1 8

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
By plotting the points found in the previous step, the graph can be drawn: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 -10 -8 -6 -4 -2 0 2 4 6 8 10
The points, if any, at which the graph crosses or touches the coordinate axes are called the intercepts. Procedure for Finding Intercepts 1. To find the x -intercept(s), if any, of the graph of an equation, let y = 0 in the equation and solve for x. 2. To find the y -intercept(s), if any, of the graph of an equation, let x = 0 in the equation and solve for y .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example: Find the x-intercepts and y-intercepts

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern