Which pair of terms below correctly completes the following sentence? a function has vertical asymptotes at x-values for which it is and near which the function's values become very positive or negative numbers. a. defined; small b. defined; large c. undefined; large d. undefined; small

For a given function an asymptote is a value for which the denominator of the function becomes zero.

And so the function becomes undefined.

Also if the denominator of any fraction is zero, the value of the fraction goes on to become infinity or very large.

A function has vertical asymptotes at x-values for which it is Undefined and near which the function's values become very Large positive or negative numbers.

Option C) is the right answer.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).