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
1.7
Graph Linear Functions
No School: Monday
1.5-1.9 Quiz: 1/22/10
Unit 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 + b
f(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) -11
b) -3
c) 3
d) 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)