Name:____________________________________________Date:_______________Core:____________
Algebra – Graphs and Functions
Day
Section

1
5.2




Learning Target
Identify the domain and
range of data.
Use the vertical line test
to classify functions.
Use a map diagram to
classify functions.
Evaluating function rules.
Finding the range when
given the domain.
Assignment
Page 244
#’s 1-14 all
2
5.2 continued
3
5.2
Workbook pages
TBD
4
5.2
Review
TBD

5
5.3
6
5.2-5.3

Review

7
Reading a Graph

8
5.4


9
5.5
10
5.2-5.5
11
Review
12
Test
Creating the three views
of a function.
Graphing functions.

Understanding and
making inferences from
graphs.
Writing the rule of a
function given a table.
Solving real world
problems.
Evaluating if equations is
a direct variation.
Writing an equation
given one point.
“Are You Ready?” packet
Page 244 15-37
Page 249 2-12evens,
16-22evens, 2632evens
TBD
Page 256
1-9, 25-28
Page 256
#’s 10-20
Page 264
#’s 1-21
Finish “Are You
Ready?”
Study
Chapter 5 test
None
***This is an outline. The assignments/quizzes/tests are subject to change.
Algebra
Chapter 5 section 2
Day 1
Relations and Functions
Warm up
Graph each point on the coordinate plane provided:
(2, -4)
(0, 3)
(-1,-2)
(-3, 0)
Evaluate each expression:
3a – 2 for when a = -5
x + 3 for when x = 3
-6
Learning Targets: Students will be able to solve for the domain and range of ordered pairs, and determine whether
a relation is a function by using the vertical line test or through using a map diagram.
Vocabulary
Relation: is a set of _______________ _______________
Domain: of a relation is the set of _________ __________________ of the ordered pairs.
Range: of a relation is the set of _______________ coordinates of the ordered pairs.
Objective 1) How to find the domain and range of a set of ordered pairs.
Age
Height
(Years)
(meters)
18
4.25
20
4.40
21
5.25
14
5.00
18
4.85
Domain
Range
Practice: Find the domain and Range of the ordered pairs below:
{(4, 6), (6, 7), (4, 3), (5, 19), (5, 7)}
Domain
Range
Function: is a relation that assigns exactly ____________ value in the ______________ to each value in the
_______________.
Vertical-line test: If any __________________ line passes through more than ___________ point of the graph,
the relation _____________________ a function.
Objective 2) How to use the vertical line test to determine if a relation is a function.
Practice: Graph the following coordinates & determine if the relation is a function:
{(4, -2), (1, 2), (0, 1), (-2, 2)}
Objective 3) How to use a map diagram to determine if a relation is a function.
{(11, -2), (12, -1), (13, -2), (20, 7)}
{(-2, -1), (-1, 0), (6, 3), (-2, 1)}
Domain
Domain
Range
Range
Practice: Use a mapping diagram to determine whether each relation is a function:
{(3, -2), (8, 1), (9, 2), (3, 3), (-4, 0)}
Homework:
Page: 244 1-14all
Algebra
Chapter 5 section 2
Day 2
Relations and Functions (continued)
Warm up
Write the domain and range of the following relations:
{(3, 0), (-2, 1), (0, -1), (-3, 2), (3, 2)}
Determine if the following relations are functions by using the vertical-line test or a mapping diagram:
{(6.5, 0), (7, -1), (6, 2), (2, 6), (5, -1)}
{(3, 9), (-2, 9), (4, 9), (-.5, 9)}
Learning Target: Students will be able to evaluate functions using function rules and finding the range of a
function when given the domain.
Vocabulary:
Function Rule: is an ________________that describes a ________________. You can think of a function rule as
an input-output machine.
Function Notation: when you use _________ to indicate the outputs.
Objective 1) Evaluating a Function Rule
Evaluate f(n) = -3n – 10 for n = 6
Function rule
Read “f of n is
equal to ….”
Reading Math:
Evaluate -2𝑥 2 + 7 for x = -4
You can think of the
notation f(6) as
“replace n/x with 6
to find the value of
f(6).”
Practice!!
Evaluate f(x) = 𝑥 2 – 4 for x = 2.1
Objective 2) Finding range when given the domain.
Evaluate the function rule f(a) = -3a + 5 to find the range of the function for the domain {-3, 1, 4}
Practice!! Find the range of each function for the domain {-2, 0, 5}
f(x) = x – 6
Homework: Page 244 15-37
g(t) = 𝑡 2 + 1
Algebra
Chapter 5 section 3
Day 5
Warm up:
Solve the following (remember your order of operations!)
(( 9 + 5 ) +(20 ÷ 10)2) x 42
16 +( 7 +(11 − 2 )2) + 5
Learning Target: Students will be able to graph functions using a table, plotting points, and joining coordinates
to form a line.
Vocabulary:
Independent variable: Are the _____________ values and lie on the __________________.
Dependent variable: Are the _____________ values and lie on the _________________.
Objective 1) Viewing functions in three ways:
1
Model the function rule y = 2 𝑥 + 3
Step 1: Choose the input values for x. Then evaluate to find y.
X
1
y = 2𝑥 + 3
Step 2: plot points for the ordered pars.
Step 3: join the points to form a line.
(x,y)
Objective 2) graphing functions using the three methods of viewing functions
Graph the function y = |x|
Step 1: make an input/output table similar to the table we made in the previous example:
Step 2: graph the data and connect the points.
Practice!! Graph the function y = 𝑥 2 + 1
Homework: Page 249 #’s 212evens, 16-22evens, and 2632evens