Piecewise Function Review 12/18/24

Front

What is a piecewise function?

Back

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

Front

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

Back

To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point and then use that expression to find the output.

Front

What does the notation f(x) mean?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the value of f(x) when x is in the domain of a piecewise function?

Back

Substitute the value of x into the appropriate piece of the function based on the defined intervals.

Front

What is the significance of the inequality signs in piecewise functions?

Back

Inequality signs determine which part of the function to use based on the value of x.

Front

If f(x) = -x + 4 for x < 2, what is f(1)?

Back

f(1) = -1 + 4 = 3.

Front

If f(x) = 2x - 6 for x >= 2, what is f(3)?

Back

f(3) = 2(3) - 6 = 0.

Front

What is the graphical representation of a piecewise function?

Back

A piecewise function is represented by a graph that consists of multiple segments, each corresponding to a different piece of the function.