Notes: `y=8/(x^2-x-6)` Graph the function.

Friday, 30 October 2015

$\displaystyle{y}=\frac{{8}}{{{{x}}^{{2}}-{x}-{6}}}$ Graph the function.

We are asked to graph the function $\displaystyle{y}=\frac{{{8}}}{{{{x}}^{{2}}-{x}-{6}}}$ :

Factoring the denominator yields:

$\displaystyle{y}=\frac{{8}}{{{\left({x}-{3}\right)}{\left({x}+{2}\right)}}}$

There are vertical asymptotes at x=-2 and x=3. Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is y=0.

The y-intercept is -4/3.

The graph:

We are asked to graph the function $\displaystyle{y}=\frac{{{8}}}{{{{x}}^{{2}}-{x}-{6}}}$ :

Factoring the denominator yields:

$\displaystyle{y}=\frac{{8}}{{{\left({x}-{3}\right)}{\left({x}+{2}\right)}}}$

There are vertical asymptotes at x=-2 and x=3. Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is y=0.

The y-intercept is -4/3.

The graph:

Notes

Friday, 30 October 2015

$\displaystyle{y}=\frac{{8}}{{{{x}}^{{2}}-{x}-{6}}}$ Graph the function.

No comments:

Post a Comment

How are race, gender, and class addressed in Oliver Optic's Rich and Humble?

Friday, 30 October 2015

Graph the function.

No comments:

Post a Comment

How are race, gender, and class addressed in Oliver Optic&#39;s Rich and Humble?

$\displaystyle{y}=\frac{{8}}{{{{x}}^{{2}}-{x}-{6}}}$ Graph the function.

How are race, gender, and class addressed in Oliver Optic's Rich and Humble?