Question

Given this function, find the domain and range, the x and y intercepts, the horizontal asymptote, and the vertical asymptote.

Answer 1

\[f(x)= \frac{ 2 }{ ^{x^2 - 2x - 3} }\]

Answer 2

range is

\[x \in R - \left\{ 2 \right\}\left\{ 3 \right\}\]

Answer 3

domain is infinity

Answer 4

Thank you

Answer 5

Can you help me with the other things?

Answer 6

;)

Answer 7

which ones

Answer 8

The x and y intercepts, the horizontal asymptote, and the vertical asymptote

Answer 9

horizontal asymptote put x=0
vertical asymptote put y=0

Answer 10

actually those answers are not correct

Answer 11

in fact none of them are correct

Answer 12

you know midnight study leads to this :D sry

Answer 13

for the DOMAIN set the denominator equal to zero and solve
then exclude those values
\[x^2-2x-3=0\]
\[(x-3)(x+1)=0\]
\[x=3,x=-1\] so the domain is all numbers except \(3\) and \(-1\)

Answer 14

range is all real numbers except 0 because a fraction is only 0 if the numerators is 0, and your numerator is 2

Answer 15

vertical asymptote you already solved for, it is the zeros of the denominator
\[x=3,x=-1\] horizontal asymptote is \(y=0\) because the degree of the numerator is less than the degree of the denominator

Answer 16

Thank you so much!

Answer 17

yw

Answer 18

Yes, I got that too :)

Answer 19

x intercept is when y=0