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.

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 $x = 7$ .

Final Answer

The function $f(x)$ is not continuous at $x = -2, 2, 7$ .

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