Determine any asymptotes (horizontal, vertical or oblique). find holes, intercepts and state it's domain.

Factorize the denominator:

If , we can cancel the factors of , which makes and removable discontinuities that appear as holes in the plot of .

We're then left with

which is undefined when , so this is the site of a vertical asymptote.

As gets arbitrarily large in magnitude, we find

since the degree of the denominator (3) is greater than the degree of the numerator (2). So is a horizontal asymptote.

Intercepts occur where (-intercepts) and the value of when (-intercept). There are no -intercepts because is never 0. On the other hand,

so there is one -intercept at (0, 1).

The domain of is the set of values that can take on for which exists. We've already shown that can't be -2, 2, or -1, so the domain is the set

step-by-step explanation:

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two