Question

Identify the discontinuities, graph, and find the zeros of each rational function.

f(x)=(4x^2-36x)/(x-9)

Answer 1

Hints:

1. To find the discontinuity of a rational function find where the denominator equal zero.
2. To graph the function divide f(x) = 4x(x-9)/(x-9). Cancel factors of 1. Don't forget to indicate what x cannot equal.

3. To find the zeroes of the function set f(x) = 0 and solve for x.