What does the notation $$f(x)$$ represent in a function?

The notation $$f(x)$$ represents the output of the function $$f$$ when the input is $$x$$ .

What is the output of $$f(-5)$$ if it corresponds to the top equation in a piecewise function?

The output of $$f(-5)$$ is the value given by the top equation of the piecewise function.

What is the output of $$f(29)$$ if it corresponds to the bottom equation in a piecewise function?

The output of $$f(29)$$ is the value given by the bottom equation of the piecewise function.

What is the output of $$f(0)$$ if it corresponds to the middle equation in a piecewise function?

The output of $$f(0)$$ is the value given by the middle equation of the piecewise function.

What is an example of a piecewise function?

An example of a piecewise function is: $$f(x) = { 2x + 1, x 0 }$$ .

What does it mean if a piecewise function is undefined at a certain point?

If a piecewise function is undefined at a certain point, it means there is no valid output for that input value within the defined pieces.

How can you graph a piecewise function?

To graph a piecewise function, plot each piece according to its defined interval and ensure to use open or closed circles to indicate whether endpoints are included.

What is the importance of continuity in piecewise functions?

Continuity in piecewise functions is important because it determines whether the function has any breaks or jumps at the boundaries of the defined intervals.

What is the difference between a continuous and a discontinuous piecewise function?

A continuous piecewise function has no breaks in its graph, while a discontinuous piecewise function has at least one break or jump at the boundaries of its intervals.

FLASHCARD Evaluating Piecewise Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of its domain.

2.

FLASHCARD QUESTION

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the function's value.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the significance of the domain in piecewise functions?

Back

The domain of a piecewise function specifies the intervals for which each piece of the function is valid.

5.

FLASHCARD QUESTION

Front

How do you determine which equation to use in a piecewise function?

Back

You determine which equation to use by identifying the input value's interval in the piecewise function's domain.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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