Reading Continuous Linear Graphs LIVE

Reading Continuous Linear Graphs

Objective: Identify specific domain and range values on a continuous linear graph.

Multiple Choice

WARM-UP: Given the graph, find the value of x when y = -3.

• -3

• -4

• -2

• 0

• 1

ANSWER

1^st Step: Find -3 on the y axis.

2^nd Step: look left or right to see where a point is.

This one is left.

Identify that point.

The x-coordinate is the answer

ANSWER: x = -2

REVIEW

Discrete Graph: A discrete graph is a series of unconnected points.

(a scatter plot)

Continuous Graph

Graphs that appear as one smooth curve or line, with no holes or gaps.

The graphs continue past what we can see. Usually, they have arrows on the end of the line to tell you they keep going.

Continuous Graph

Continuous graphs contain all the points that are nice integers, like (4,1).

They also contain ALL the points in between the dots. (highlighted)

Identifying Specific Domain and Range Values

We are going to do the same thing we did with discrete graphs.

We are going to be given an x-value and asked for the y-value.

And we will be given a y-value and asked for the x-value.

Example 1

Given the graph, find the value of y when x = 3.

1^st Step: Find 3 on the x-axis.

(on the next slide)

Example 1 (cont'd)

Given the graph, find the value of y when x = 3.

1^st Step: Find 3 on the x-axis.

2^nd Step: look up or down to see where a point is.

This one is up.

Identify that point. (next slide)

Example 1 (cont'd)

Given the graph, find the value of y when x = 3.

1^st Step: Find 3 on the x-axis.

2^nd Step: look up or down to see where a point is.

This one is up.

Identify that point.

The y-coordinate is the answer

ANSWER: y = 2

Multiple Choice

Given the graph, find the value of y when x = -2.

• 5

• 1.5

• -3

• -1

• 2

ANSWER

1^st Step: Find -2 on the x-axis.

2^nd Step: look up or down to see where a point is.

This one is up.

Identify that point.

The y-coordinate is the answer

ANSWER: y = 5

Multiple Choice

Given the graph, find the value of y when x = 4.

• -2

• -4

• -5

• 8

• 0

Multiple Choice

Given the graph, find the value of y when x = -1.

• 4

• -4

• 10

• 1

• 0

Example 2

Given the graph, find the value of x when y = 2.

1^st Step: Find 2 on the y-axis.

(on the next slide)

Example 2 (cont'd)

Given the graph, find the value of x when y = 2.

1^st Step: Find 2 on the y-axis.

2^nd Step: look left or right to see where a point is.

This one is right.

Identify that point. (next slide)

Example 2 (cont'd)

Given the graph, find the value of x when y = 2.

1^st Step: Find 2 on the y-axis.

2^nd Step: look left or right to see where a point is.

This one is right.

Identify that point.

The x-coordinate is the answer

ANSWER: x = 3

Multiple Choice

Given the graph, find the value of x when y = 3.

• -1

• -5

• -3

• 0

• 5

ANSWER

1^st Step: Find 3 on the y axis.

2^nd Step: look left or right to see where a point is.

This one is left.

Identify that point.

The x-coordinate is the answer

ANSWER: x = -1

Multiple Choice

Given the graph, find the value of x when y = -9.

• 4

• 2

• 3

• 0

• -1

Multiple Choice

Given the graph, find the value of x when y = -2.

• -5

• -1.5

• -10

• 10

• 0