Warm-up: 1. Find the slope that passes

through the points (-5, -4) and (1, -2).

2. Use the graph to the right to find the slope that passes through the points.

3. Identify the slope and y-intercept of -4x + 8y = 40

1.7Graph Linear Functions

No School: Monday1.5-1.9 Quiz: 1/22/10Unit 1 Test: 1/27/10

Vocabulary: You have seen linear functions written

in the form y = mx + b. By naming a function f, you can write it using function notation: f(x) = mx + bf(x) means that you have “x” in the equation.

f(x) is just another way to write y =

Vocabulary: A family of functions is a group of

functions with similar characteristics.

The most basic linear function family of all linear functions is called the parent linear function and has the following form: f(x) = x.

Example 1: Graph the function g(x) = x + 1.

Compare the graph with the graph of f(x) = x.

Example 2: Graph the function h(x) = 2x.

Compare the graph with the graph of f(x) = x.

Example 3: Graph the functions. Compare the

graphs. g(x) = x + 2 and h(x) = -x + 2

Example 4: Standardized Test Practice What is the value of the function

f(x) = -2x – 7 when x = -2? a) -11b) -3c) 3d) 11

Your Turn: Evaluate the function for the given

value of x:1. f(x) = 0.3x – 1.2; x=7

2. f(x) = -2/5x + 1/10; x=4

Example 5: For the function f(x) = -3x + 2, find

the value of x so that f(x) = -13

f(x) = -3x + 2 f(x) = -13

f(x) = f(x)-3x + 2 = -13

Your Turn: Find the value of x so that the

function has the given value:1. g(x) = -1/2x – 3; g(x) = 4

2. h(x) = 5x – 3; h(x) = -13

Homework: P. 41-42 #2-40Evens Correct your quiz (on a separate

sheet of paper)