1. Math 1111 – College Algebra Chapter 1 – Equations & Inequalities Section 1.1 – Graphs & Graphing Utilities

2. Objectives (1) Plot points in a rectangular coordinate system (2) Graph equations in the rectangular coordinate system (“by hand” & with a graphing calculator) (3) Interpret information about a graphing utility’s viewing rectangle or table (find points using tools on your graphing calculator) (4) Use a graph to determine intercepts (5) Interpret information given by graphs

3. Plotting Points Plot points in a rectangular coordinate system. Plot the points A(1, 4), B(3, -2), C(-3, 0), and D(0, 5)

4. Plotting Points-Practice Plot the points A(-1, -5), B(1, 1), C(1, 0), D(0, -2), and E(-4, 3)

5. Rectangular Coordinate System Quadrants (+,+)… Intercepts :

6. Viewing Window (or Rectangle) of the Graphing Calculator Make sure you know how to graph using a graphing calculator!!! Be able to set different windows. Be able to find intercepts/zeros with your graphing calculator. Ex: [-10, 10, 1] by [-10, 10, 1] [-10, 10, 2 ] by [-6, 6, 2 ] [-5, 10, 1] by [-5, 5, 1] [-10, 20, 5] by [-30, 50, 10]

7. Graphs of Equations Point Plotting Method using a Table Examples: y=x y=x2 y=|x| Practice y=2x +1 y=x2 -2 y=2|x|

8. Identifying x- and y-intercepts y=x2 -2 Practice exercises: P. 98 #43-46 Does a graph always have x- and y-intercepts? Can a graph have the same x-intercept and y-intercept?

9. Math 1111 – College Algebra Chapter 1 – Equations & Inequalities Section 1.2 – Linear and Rational Equations

10. Section 1.2 - Objectives (1) Solve linear equations in one variable. (2) Solve linear equations containing fractions. (3) Solve rational equations with variables in the denominators. (4) Recognize identities, conditional equations, and inconsistent equations.

11. Solving a Linear Equation Ex: 4x+5=29 4(2x+1)=29+3(2x-5)

12. Solving a Linear Equation involving Fractions 1.

13. Solving a Rational Equation 1. 2. Write the value of the variable that make the denominator zero. This is your restriction Keeping the restrictions in mind, solve the equation

14. Categorizing an Equation Three types: Identity Conditional Inconsistent Examples

15. ICA 1