# Math Help - Domain, range, and asymptotes - is this correct?

1. ## Domain, range, and asymptotes - is this correct?

Is this correct?

y = 1 / (x^2 + 12x - 13)
Domain:all > 1 and < 2
Range: all < -1
Horizontal: none
Vertical: x=1, x=2

2. Originally Posted by olen12
Is this correct?

y = 1 / (x^2 + 12x - 13)
Domain:all > 1 and < 2
Range: all < -1
Horizontal: none
Vertical: x=1, x=2
$y=\frac{1}{x^2 + 12x - 13}$

$y=\frac{1}{(x+13)(x-1)}$

Vertical Asymptote x = -13, and x =1

Horizontal Asymptote y=0 (x-axis)

Domain = $\{x \in \mathbb{R} \;|\; x \ne -13, 1\}$

Range = $\{y \in \mathbb{R} \;|\; y \ne 0\}$

3. Originally Posted by olen12
Is this correct?
How did you obtain your answers?

. . . . .Google results for "domain rational functions"

. . . . .Google results for "asymptotes"

. . . . .Google results for "how to find range function"

. . . . .Google results for "graphing rational functions"