Module 7 Lesson 2

Module 7 - Lesson 2

In this lesson, you will learn about domain and range.

Lesson Vocabulary Review

Ordered Pair

Coordinate Plane

Origin

Domain

x-axis

y-axis

Quadrant

Range

Domain and Range

Domain is the set of all x-values Range is the set of all y-values There are two types of graphs that we will find the domain and range for DISCRETE and CONTINUOUS

Discrete - not connected

Continuous - connected

Discrete Graph

Hover over the graph and write down the domain, all of the x-values, and then the range, all of the y-values.

Check Your Answer

Continuous Graph

What do you think the domain and range would be for a graph that continues on forever?

Check Your Answer

Continuous Graph

How about a graph that continues on forever left and right, but not up and down? Think about possible answers and then check below.

Check Your Answer

Video Examples

You Try!

You Try!

You Try!

You may see these written in a few different ways. Domain: All real numbers, (-∞, ∞), or ℝ Range: All real numbers, (-∞, ∞), or ℝ "All real numbers" will be used in this course.

When we need to set limits, we use inequalities. Domain: All real numbers Range: y ≥ -2 All y-values greater than or equal to -2 will satisfy this function.

The set of second numbers (y-values) of the ordered pairs in a relation. {(-1, 4), (0, 6), (5, -2)} R= {4, 6, -2}

A set of numbers, or coordinates, written in the form (x, y). (-1, 5)

x y

The four regions into which the x- and y-axis separate the coordinate plane.

The point at which the x- and y-axis intersect on the coordinate plane; (0, 0).

(0, 0)

The vertical axis on a coordinate plane.

y-axis

The set of first numbers (x-values) of the ordered pairs in a relation.

{(-1, 4), (0, 6), (5, -2)} D = {-1, 0, 5}

The horizontal axis on a coordinate plane.

x-axis

Domain: {1, 2, 3, 4, 5} Range: {50, 60, 65, 90, 96}

Formed by the intersection of two number lines, the horizontal axis and the vertical axis.