Question

help please!!

Answer 1

will medal :))

Answer 2

Take note of the arrows. They indicate that the line stretches on in both directions and does so infinitely. So the line goes on forever

So the range would be the set of all real numbers BUT there's a hole on the line (hopefully you're able to see it?)

Answer 3

so its all real numbers?

Answer 4

if the hole wasn't there yes, but there's a hole

Answer 5

do you see where the hole is at? it's on the line

Answer 6

thank you!

Answer 7

the answer isn't "all real numbers"

again, there's a hole

Answer 8

oh okay yes i do see it

Answer 9

where is the hole? what are the coordinates?

Answer 10

4,3

Answer 11

(4,3) is not the correct location

it should be (-4,3)

since you go over to the left in the negative x direction

Answer 12

my negative didnt go in sorry

Answer 13

y = 3 is the y coordinate of the hole

so y = 3 is NOT a possible output, which means it is NOT in the range of the function

Answer 14

so the range is the set of all real numbers BUT y can't equal 3

Answer 15

okay

Answer 16

if your teacher went over set notation, then you would write it like this

\[\Large \left\{y|y\in\mathbb{R} \ , \ y \neq 3\right\}\]

Answer 17

thank you

Answer 18

or you can do it in interval notation

\[\Large (-\infty, 3) \cup (3, \infty)\]