Question

State the interval(s) for which the function is continuous.

F(x) = 2x/(x^2 - 25)

On what interval is the function continuous?

Answer 1

@jim_thompson5910

Answer 2

the function will be continuous at all places except at x = 5,-5

Answer 3

This function is continuous wherever the denominator (bottom part of the fraction) is NOT zero.

So where is the denominator = 0 ?

Answer 4

You can see a graph of the function here. Note that it goes off to + and - infinity at certain points... :)

https://www.desmos.com/calculator/nf8dlauh8c