Question

Anyone know how do do this?​

Answer 1

Answer:

Step-by-step explanation:

A relation is a function if there are no shared x values.  If you look at the y-axis where x = 0, you can see that there are 2 coordinates that share that x value:

(0, -1) and (0, 3).  Because the x value in both those coordinates is the exact same number, this is NOT a function, merely a relation.  ALL functions are relations, but not all relations are functions.

The domain asks for all the included x values.  It goes from the lowest x value to the highest x value.  Our lowest x value is -4 and the function stops at an x value of 4.  So the domain is

D = {x | -4 ≤ x ≤ 4}

The range goes from the lowest y value to the highest y value.  Our lowest y value is -2 and the highest y value is 4.  So the range is

R = { y | -2 ≤ y ≤ 4}

That straight line that comes after the first x and y is the line that translates to "such that".  In words, our domain reads "x such that x is greater than or equal to -4 and less than or equal to 4" and the range reads "y such that y is greater than or equal to -2 and less than or equal to 4".