Question

1. What are the zeros of the function f(x) = 3x^2-9x+6/3x-6

2. What is the graph of the function f(x) x^2-9x+20/x-4
(I just need help getting the discontinuities, I'm confused on how to get those.)

Answer 1

a discontinuity is what happens when we try to divide by zero

Answer 2

what value(s) make the denominator go to zero?

Answer 3

4?

Answer 4

on #2, 4 does give us a zero denominator. what this means is that on the graph, where x=4 there is going to be some sort of discontinuity because we simply cant use x=4

Answer 5

Okay, so how do we find the other coordinate?

Answer 6

what do you mean by other coordinate?

Answer 7

The point of discontinuity. (4,?)

Answer 8

a discontinuity is not a point .... it is a value of x that simply cannot exist for the expression.

Answer 9

if you are trying to determine the TYPE of discontinuity we have, you would want to factor the top part to make some comparisons with