Graph Functions

By Mr. BalesBy Mr. Bales

Objective

By the end of the lesson, you will be able to graph functions.

Standard 4MG2.1 - Students will draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3x and connect them by using a straight line.

By the end of the lesson, you will be able to graph functions.

Standard 4MG2.1 - Students will draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3x and connect them by using a straight line.

Introduce

Andrew went apple picking with our class. Each bag can hold 5 apples.

Andrew went apple picking with our class. Each bag can hold 5 apples.

Input (x)Bags

Output (y) (x, y)

1 5 (1, 5)

2 10 (2, 10)

3 15 (3, 15)

4 20 (4, 20)

•What does this function table show?

•What is the rule?

•How can you write the rule as an equation?

•Where do you think the values in the ordered pairs in the last column came from?

Teach

Soumya’s parents gave her $2 for every A she earns on her report card. The function table shows how much Soumya will earn if she gets 1, 2, 3, or 4 A’s.

Soumya’s parents gave her $2 for every A she earns on her report card. The function table shows how much Soumya will earn if she gets 1, 2, 3, or 4 A’s.

Input (x)Bags

Output (y)

Number of A’s

Money Earned

1 $2

2 $4

3 $6

4 $8How could we write this pattern as a rule?

y = 2x

Graph a Function

Before we graph Soumya’s function, let’s watch this concept in motion.

Graph the function!!

Graph the function y = 2x. Then use the graph to find out how much Soumya will get if she earns 6 A’s.

Before we graph Soumya’s function, let’s watch this concept in motion.

Graph the function!!

Graph the function y = 2x. Then use the graph to find out how much Soumya will get if she earns 6 A’s.

Rule: y = 2x.

Input (x)Number of

As

Output (y)Money Earned

Ordered Pair

1 $2 (1, 2)

2 $4 (2, 4)

3 $6 (3, 6)

4 $8 (4, 8)

Come on Mrs. Verughese!!

Mrs. Verughese!!Mrs. Verughese!!

Bales Bucks!!

Assignment

Page 492 - #’s 6 - 12 Get them all correct - No Math

Homework

Page 492 - #’s 6 - 12 Get them all correct - No Math

Homework