Evaluating Piecewise Functions

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

What does the domain restriction 0 ≤ x < 2 imply?

Back

The domain restriction implies that the function is only defined for values of x between 0 and 2, including 0 but not including 2.

Front

Evaluate f(0) if f(x) = 2x + 4 for 0 ≤ x < 2.

Back

f(0) = 2(0) + 4 = 4.

Front

What is the value of f(1) if f(x) = 2x + 4 for 0 ≤ x < 2?

Back

f(1) = 2(1) + 4 = 6.

Front

What is f(-1) if f(x) = -2 for x < 0?

Back

f(-1) = -2.

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, determine which piece of the function applies to the given input value and then use that piece to find the output.

Front

What is the output of f(6) if f(x) = 7 for x ≥ 6?

Back

f(6) = 7.

Front

What is the significance of the notation f(x)?

Back

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

Front

If f(x) = x^2 for x < 0, what is f(-3)?

Back

f(-3) = (-3)^2 = 9.

Front

What does it mean if a function has a domain restriction?

Back

A domain restriction means that the function is not defined for certain values of x.