GRAPHING FUNCTIONS

Algebra 4.4

Learning Targets

Language GoalStudents will be able to say information from

reading a graph.Math GoalStudents will be able to graph functions given

a limited domain and graph functions given a domain of all real numbers.

Essential QuestionHow do graph a function of all real numbers?

Warm-up

Homework Check

Homework Check

Example 1: Graphing Solutions Given a Domain

Graph each function for the given domain.A. Step 1: Solve for y since you are given values of the domain, or x.

Step 2: Substitute the values of the Step 3: Graph the ordered pairsdomain for x and find values of y.

x Rule y (x, y)

Example 1: Graphing Solutions Given a Domain

Graph each function for the given domain.B. Step 1: Solve for y since you are given values of the domain, or x.

Step 2: Substitute the values of the Step 3: Graph the ordered pairsdomain for x and find values of y.

x Rule y (x, y)

Example 1: Graphing Solutions Given a Domain

Graph each function for the given domain.C. Step 1: Solve for y since you are given values of the domain, or x.

Step 2: Substitute the values of the Step 3: Graph the ordered pairsdomain for x and find values of y.

x Rule y (x, y)

Example 1: Graphing Solutions Given a Domain

Graph each function for the given domain.D. Step 1: Solve for y since you are given values of the domain, or x.

Step 2: Substitute the values of the Step 3: Graph the ordered pairsdomain for x and find values of y.

x Rule y (x, y)

Example 2: Graphing Functions

Graph each function. A. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern.x Rule y (x, y)

Step 3: Connect the points

Example 2: Graphing Functions

Graph each function.B. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern.x Rule y (x, y)

Step 3: Connect the points

Example 2: Graphing Functions

Graph each function.C. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern.x Rule y (x, y)

Step 3: Connect the points

Example 2: Graphing Functions

Graph each function.D. Step 1: Choose several values for x Step 2: Plot enough points to and generate ordered pairs. see a pattern.x Rule y (x, y)

Step 3: Connect the points

Example 3: Finding Values

A. Find the value of x so that (x, 6) satisfies

Example 3: Finding Values

B. Find the value of x so that (x, -4) satisfies f(x)

Example 4: Word Problems

A mouse can run 3.5 meters per second. The function y = 3.5x describes the distance in meters the mouse can run in x seconds. Estimate how many meters a mouse can run in 2.4 seconds.

4.1 – 4.4 Quiz Tomorrow!

Let’s Review!

Quiz Review 4.1

Match the situation to the graph below.A. A baby lost a little weight, then gained

weight slowly.B. A baby gained weight at a rapid pace.C. A baby gained weight at an uneven pace,

then maintained a constant weight.

4.1 Review

Draw a graph of the following situation. Then tell whether it is discrete or continuous.

A. Lora has $15 to spend on movie rentals for the week. Each rental costs $3.

B. Don’s hair grows steadily longer between haircuts.

Time

Length

Discrete or Continuous

Discrete or Continuous

4.2 Review

Express each relation as a table, as a graph, and as a mapping diagram.

4.3 Review

Find the Domain, Range, and tell whether the following is a function and explain.

x y

-3 8

-2 5

-1 1

-1 4

-1 6

D:R: Function?Explain:

Determine the relationship between the x- and y- values. Write an equation.

4.3 Review

Identify the Independent and Dependent variables.

A. Ice cream sales increase when the temperature rises.

Independent:

Dependent:

B. Food for the catered party costs $12.75 per person.

Independent:

Dependent

4.4 Review

Graph each function for the given domain.

Step 1: Substitute the values of the Step 2: Graph the ordered pairsdomain for x and find values of y.

x Rule y (x, y)

Lesson Quiz