Name:_______________________
College Algebra
Unit 1 – Standard 3A
Day
Learning Target

1

2

Determine if equations are linear functions.
Use vertical line test to identify functions.
Evaluate linear functions. Find domain and
range.
Determine if equations are linear functions.
Use vertical line test to identify functions.
Evaluate linear functions. Find domain and
range.
Graph linear functions by hand.
3
Assignment
Worksheet #1
Worksheet #2
Worksheet #3

Graph linear functions by hand.
4
Worksheet #4

Graph linear functions by calculator.
5
Worksheet #5

Graph linear piece-wise functions by hand.
6
Worksheet #6

Graph linear piece-wise functions by hand.
7
Worksheet #7
Review
8
Review
9
Unit 1 – Standard 3A Test
10
This is an outline. The assignments/quizzes/tests are subject to change
College Algebra
Unit 1 – Standard 3A
Linear Functions - Notes Day 1
Name_____________________
LINEAR FUNCTIONS
Learning Targets: Students will be able to solve applications of linear equations.
Function: A relation in which each element in the domain corresponds with exactly one element in the
range.
(i.e. x-values DO NOT repeat)
Domain: The x-values
1)
Range: The y-values
Is this a function: {(2,4), (7,6), (1,3), (3,2)}
Domain: ______________
Range: _______________
Function? _____________
Vertical Line Test: Check to see if all vertical lines intersect the graph at exactly one point.
2)
Ex: Function?
3) Ex: Function?
Function Notation: f ( x) is just a “fancy y ”
4) f ( x)  2 x  3
a) f ( 1)
g ( x)  x  8
b) g (3)
5) What is f(1), f(5), f(6)?
c) f (2)  g (2)
Domain: x-values – How far to the left?
How far to the right?
6)
f ( x)  4  3 x
Domain: ____________
Range: _____________
Function? ______
7)
Range: y-values – How far down?
How far up?
f ( x)  5 x  2
Domain: _____________
Range: ______________
Function? ______
8) x  3
Domain: _____________
Range: ______________
Function? ______
Are the following equations linear?
9)
f ( x)  3  7 x
ASSIGNMENT #1: Worksheet #1
10)
f ( x)  3  7 x 2
11) g ( x)  2 x  9
College Algebra
Unit 1 – Standard 3A
Graphing Linear Functions - Notes Day 2
Name_____________________
Learning Targets: Students will be able to graph linear functions.
Graph the following lines.
y  2x  3
1)
3)
f ( x)  3x  8
2)
y  5 x  4
4) g ( x)  
2
x4
3
Put the following equations in slope-intercept form and then graph the following lines.
5)
2x  3y  9
7)
2 x  5 y  15
ASSIGNMENT #2: Worksheet #2
6) 5 x  3 y  12
8) 3 x  4 y  12
College Algebra
Unit 1 – Standard 3A
Graphing Linear Functions - Notes Day 3
Name_____________________
Learning Targets: Students will be able to graph linear equations.
The x-intercept is ______________________________________________.
The y-intercept is ______________________________________________.
1) Use the given graph to state the x- and y-intercepts.
a.
b.
x-intercept __________
x-intercept __________
y-intercept __________
y-intercept __________
If an equation is written in Standard Form, it is quick to find both the x- and y-intercept of the graph.
Procedure for determining the x- and y-intercepts:

To find the x-intercept, plug in a ________ for _________.

To find the y-intercept, plug in a ________ for _________.
We will call this the “_____________________” Method.
2)
Determine the x- and y-intercepts for each equation.
a) x  2 y  12
b) 3x  5 y  9
c) y  7
x-intercept __________
x-intercept __________
x-intercept __________
y-intercept __________
y-intercept __________
y-intercept __________
There are two ways to graph a linear equation. Today we will find the x- and y-intercepts, plot these two
points, and draw our line.
3)
Graph the following equations using the x- and y-intercepts.
a. 2x  5 y  20
c. 3x  2 y  12
e.
x  2
ASSIGNMENT #3: Worksheet #3
b. 4x  6 y  12
d. y  6 x  6
f. y  5
College Algebra
Unit 1 – Standard 3A
Graphing Linear Functions by Calculator - Notes Day 4
Name_____________________
Learning Targets: Students will be able to graph linear functions by calculator.
Graph the following lines.
1) y  2 x  3
2)
y  5 x  4
x-intercept __________
x-intercept __________
y-intercept __________
y-intercept __________
TI-Nspire steps:
1.
2.
3.
4.
5.
6.
7.
Home
New Document (2)
No – do not save old document
Add graph (2)
Enter line, hit enter
Menu, Trace (5),Graph Trace (1) – see y-intercept
Menu, Analyze Graph (6), Zero (1), Click left of x-intercept, Click right of x-intercept
What if you are given an equation in standard form?
TI-Nspire steps:
1.
2.
3.
4.
5.
6.
7.
8.
Home
New Document (2)
No – do not save old document
Add graph (2)
Menu, Graph Entry/Edit (3), Equation (2), Line (1), Line Standard (3)
Enter line, hit enter
Menu, Trace (5),Graph Trace (1) – see y-intercept
Menu, Analyze Graph (6), Zero (1), Click left of x-intercept, Click right of x-intercept, (you might need to
change window?)
3) 4x  6 y  12
5)
4) 2x  5 y  20
x-intercept __________
x-intercept __________
y-intercept __________
y-intercept __________
x  2
6) y  5
x-intercept __________
x-intercept __________
y-intercept __________
y-intercept __________
ASSIGNMENT #4: Worksheet #4
College Algebra
Unit 1 – Standard 3A
Graphing Linear Piece-Wise Functions by Hand - Notes Day 5
Name_____________________
Learning Targets: Students will be able to graph linear piece-wise functions.
1)
2 x  3
f ( x)  
3x  4
3x  7
3) f ( x)  
 2x  3
x  1
x  1
x3
x3
ASSIGNMENT #5: Worksheet #5
 1
 x  2
2) f ( x)   2

3x  1
4)
 1
 x  2
f ( x)   4

 5
x2
x2
x4
x4