Lesson 8 1 How do you represent relations

Lesson 8. 1 • How do you represent relations and functions? – Ordered pairs – Tables – Graphs – Mapping diagrams

Lesson 8. 2 • How do you find solutions of equations in two variables? – When given an ordered pair: plug in x, plug in y – See if the equation is true • How do you graph functions using an x/y table? – – Choose − 2, − 1, 0, 1, 2 for the domain. Convert the table to ordered pairs. Plot the ordered pairs. Draw a line through the points. • How do you write an equation in function form? – Use inverse operations and solve for y.

Lesson 8. 3 • How do you use intercepts to graph a linear equation? – Find the x-intercept. • Plug in 0 for y and solve for x. – Find the y-intercept • Plug in 0 for x and solve for y. – Plot the intercepts on your graph. – Draw a line to connect the dots.

Lesson 8. 4 • How do you find the slope of a line? – You need two points and the slope formula

Lesson 8. 5 •

Lesson 8. 6 • • How do you write the equation of parallel lines? – Use the same slope as the line given. – Replace m with the slope. – Replace b with your yintercept. • How do you write the equation of perpendicular lines? – Use the negative reciprocal slope as the line given. – Replace m with the slope. – Replace b with your yintercept.

Lesson 8. 7 • What is function notation? – You write a function by giving it the name f instead of using y • How do you evaluate with function notation? – Replace the x with the given number and simplify

Lesson 8. 8 •

Lesson 8. 9 • How do you graph linear inequalities in two variables? – Graph the boundary line. • Use a dashed line for < or > • Use a solid line for ≤ or ≥ – Shade the half plane that contains the solutions. • Shade above the line if it’s greater than • Shade below the line if it’s less than – Pick a test point to verify your solution.