Domain and Range Graph

Domain and Range Graph

by Scott Donnelly

Multiple Choice

How would you write the inequality from the graph?

• $$x>-1$$  

• $$x\ge-1$$  

• $$x<-1$$  

• $$x\le-1$$  

Multiple Choice

How would you write the inequality from the graph?

• $$x>5$$  

• $$x\ge5$$  

• $$x<5$$  

• $$x\le5$$  

Multiple Choice

What is the domain of this graph?

• $$-5,1,3,4$$  

• $$-6,0,2,4,7$$  

• $$-6,1,0,4,2,-5,4,3,7$$  

• None of the above

Multiple Choice

What is the range of this graph?

• $$-5,1,3,4$$  

• $$-6,0,2,4,7$$  

• $$-6,1,0,4,2,-5,4,3,7$$  

• None of the above

​Domain from Graph

​Range from Graph

​Possible Answers

​Horizontal and Vertical Lines

​Horizontal lines

​Domain is still read from left to right.

​Range will be y= a number

​

​Vertical Lines

​Domain will be x= a number

​Range is read from bottom to top

​Finding domain and Range

​Since this graph goes on forever from left to right.

​Domain: All Real Numbers

​Since that graph goes on forever from bottom to top.

​Range: All Real Numbers

Multiple Choice

What is the lowest value of the domain?

• $$-3$$  

• $$-5$$  

• $$0$$  

• $$2$$  

Multiple Choice

What is the highest value of the domain?

• $$-3$$  

• $$-5$$  

• $$0$$  

• $$2$$  

Multiple Choice

How would you write the domain?

• $$-3\le y\le0$$  

• $$-5\le y\le2$$  

• $$-5\le x\le2$$  

• $$-3\le x\le0$$  

Multiple Choice

What is the lowest value of the range?

• $$-3$$  

• $$-5$$  

• $$0$$  

• $$2$$  

Multiple Choice

What is the highest value of the range?

• $$-3$$  

• $$-5$$  

• $$0$$  

• $$2$$  

Multiple Choice

How would you write the range?

• $$-3\le y\le0$$  

• $$-5\le y\le2$$  

• $$-5\le x\le2$$  

• $$-3\le x\le0$$  

Multiple Choice

How would you write the domain?

• $$-6\le x\le6$$  

• $$-5<x<5$$  

• $$-5\le x\le5$$  

• $$-5\le y\le5$$  

Multiple Choice

How would you write the range?

• $$-5\le y\le5$$  

• $$-5<y<5$$  

• $$-5\le x\le5$$  

• $$-5<x<5$$  

Draw

S the domain, you will be using $$\le x\le$$  

Draw

State the range, you will be using $$\le y\le$$  

Draw

State the Domain and Range

The y values, the item that depends on something else. Cost is an example.

Dependent

The x values, the things you have control over. Time is usually and independent variable.

​Independent

Variables

Example

The time it takes to run a mile depends on the person’s running speed

I:

D:.

Multiple Choice

The higher the temperature of the air in the oven, the faster a cake will bake.

What is the independent variable?

• Temperature of Oven

• Time it takes for cake to bake

• Not enough Information

Multiple Choice

The higher the temperature of the air in the oven, the faster a cake will bake.

What is the dependent variable?

• Temperature of Oven

• Time it takes for cake to bake

• Not enough Information