How do you graph $f\left(x\right)=\frac{3x+8}{x-2}$ using holes, vertical and horizontal asymptotes, x and y intercepts?

kjukks1234531
2022-09-18
Answered

How do you graph $f\left(x\right)=\frac{3x+8}{x-2}$ using holes, vertical and horizontal asymptotes, x and y intercepts?

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I have the function: $f(x)=2x-{2}^{x}+2$

I know that this function has an oblique asymptote, but all the tutorials I can find on google, are with rational functions with the form:

$f(x)=\frac{P(x)}{Q(x)}$

Where they simply just divide the denominator with the numerator.

But I can't do that, because my equation doesn't contain any fractions. So my question is: how do I find the function to the oblique asymptote for my $f(x)$?

I know that this function has an oblique asymptote, but all the tutorials I can find on google, are with rational functions with the form:

$f(x)=\frac{P(x)}{Q(x)}$

Where they simply just divide the denominator with the numerator.

But I can't do that, because my equation doesn't contain any fractions. So my question is: how do I find the function to the oblique asymptote for my $f(x)$?