The table shows selected values of a piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞). Which of the following statements are true? Select all that apply.

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The table shows selected values of a piecewise defined function fx that increases over the intervals 3 and 3 Which of the following statements are true Select a class=

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Answer: B D F

Step-by-step explanation:

The statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

What is piecewise function?

A piecewise function is one that has several curve parts in its graph.

It means that, based on the value of the input, it has countless definitions.

A piecewise function, in other words, performs differently depending on the input.

We have given a data for a piecewise function.

From the data:

[tex]\rm \lim_{n \to 3^+} f(x) = 5[/tex]

[tex]\rm \lim_{n \to 3^-} f(x) = 6[/tex]

[tex]\rm \lim_{n \to 2^+} f(x)[/tex] Does not exist because [tex]\rm \lim_{n \to 3^+} f(x)[/tex] and [tex]\rm \lim_{n \to 3^-} f(x)[/tex] are not equal.

Thus, the statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

Learn more about the piecewise function here:

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