Question

HELP PLEASE What is the range of the following function?
y=1/x+2 -1

A.{y:y ER, y ≠ -1}

B. {y:y ER, y ≠ 2}

C. {y:y ER}

D. {y:y ER, y ≠ 1}

Answer 1

what is ER?

Answer 2

this

Answer 3

ooooh i see \(y\in \mathbb{R}\) i get it !

Answer 4

how do you do it?

Answer 5

is it
\[f(x)=\frac{1}{x+2}-1\]?

Answer 6

yes

Answer 7

The range of a function is where the y-coordinate exists. Is the equation \[y =\frac{ 1 }{ x+2 } - 1\]?

Answer 8

yes it is

Answer 9

then we can think
it is pretty clear that
\[\frac{1}{x+2}\] is never zero, because the numerator is 1

Answer 10

and since
\[\frac{1}{x+2}\] is never zero, then
\[\frac{1}{x+2}-1\] is never \( -1\)

Answer 11

so A?

Answer 12

so i would go with
\[\{y:y\in \mathbb{R}, y\neq -1\}\]

Answer 13

which i have to say is a rather weird way to write this
we pretty much assume that \(y\) is a real number to start with

Answer 14

Thanks it was :)

Answer 15

to answer, yes, A

Answer 16

For the record, satellite, that is the correct way to write it on all AP Math tests.

Answer 17

why not
\[\{y\in \mathbb{R}:y\neq -1\}\] that looks at least half way normal