the graph of the function f(x) is shown below. state all values of x in the open interval -9 < x < 9 for…
the graph of the function f(x) is shown below. state all values of x in the open interval -9 < x < 9 for which the function has a removable discontinuity.
Answer
Explanation:
Step1: Recall definition of removable discontinuity
A removable discontinuity occurs when the limit of the function exists at a point, but the function is not continuous there (usually a hole in the graph).
Step2: Examine the graph
Look for holes in the graph of (y = f(x)) within the interval (-9<x<9).
Step3: Identify the (x -)values
We can see holes at (x = 1) and (x=5).
Answer:
(x = 1,x = 5)