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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?
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 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.
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
4.3 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:
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)
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