Question

For each relation, explain whether it is a function or not a function and why. Also state the domain and range.
*pictures included

Answer 1

Part e)

Answer 2

Part f)

Answer 3

Part G)

Answer 4

Part H)

Answer 5

One way to determine if it is a function or not is the "vertical line test" put your pen on your paper veritcally and drag it across your graph from left to right, if there is more than one point at any given x-value you then it effectively failed the vertical line test and is not a function.

Answer 6

@Audeezy oh okay, we learned that method in class today. Anyways, for part e) I wrote:
The x-value 1 is associated with two y-values (y=1 and y=5) and the x-value 3 is associated with y=2 and y=4

Domain: {XER|x= 1,3,5}
Range: {YER|y=1,2,3,4,5}

Answer 7

am i correct?

Answer 8

At a glance yes,

Answer 9

okay and for part f) i just wrote: it's a function because it passes the vertical line test.

Domain: {XER}
Range: {YER|y= >1}

i added a horizontal line underneath the greater than sign to represent any number greater than 1. But again, i wasn't sure