Questions: Consider the following graph of the functions (f(x)) and (g(x)) :
For what value(s) of (x) is the function (f(x)) not continuous? Enter the values from smallest to largest separated by a comma.
Transcript text: Consider the following graph of the functions $f(x)$ and $g(x)$ :
For what value(s) of $x$ is the function $f(x)$ not continuous? Enter the values from smallest to largest separated by a comma.
Answer
Solution
Solution Steps
Step 1: Identify the function f(x)
The function f(x) is represented by the red curve on the graph.
Step 2: Locate discontinuities in f(x)
Discontinuities occur where the function f(x) is not continuous. This can be identified by breaks, jumps, or holes in the red curve.
Step 3: List the x-values of discontinuities
From the graph, the red curve f(x) has discontinuities at x=−2, x=2, and x=7.