4.7a Domain and Range

4.7a Domain and Range

Domain is all the values of x.

Range is all the values of y.

What is the domain of these points?

(1,2) (3,6) (4,8) (7,10)

• 1

• 3

• 4

• 7

What is the range of these points?

(1,2) (3,6) (4,8) (7,10)

• 2

• 6

• 8

• 10

So Domain is the left and right boundaries.

Max left it goes first

Max right it goes last

Find the domain

• left boundary is -4

• right boundary is 1

• so answer is

•  $-4\le x\le1$  

Find the domain

• left boundary is 1

• right boundary is 7

• so answer is

•  $1\le x\le7$  

Multiple Choice

What is the domain?

• $-2\le x\le4$

• $2\le y\le6$

• $2\le x\le6$

Range is the top and bottom boundaries

do bottom boundary first

then top boundary

Find the range

• bottom is 0

• top is 5

• so answer is

•  $0\le y\le5$  

Find the range

• bottom is -4

• top is 1

• so answer is

•  $-4\le y\le1$  

Multiple Choice

Find the range.

• $-6\le x\le-2$

• $-2\le x\le6$

• $-2\le y\le6$

It does kind of tie into functions too.

X is the input and domain

Y is the output and range