Evaluating Piecewise Functions Practice

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.

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the interval that contains the input value and use the corresponding expression to find the output.

Front

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

Back

It means that there is no output value for that input in the function's definition.

Front

Evaluate f(3) for the piecewise function defined as: f(x) = { 2x + 12 if x < 4; 3x - 6 if x >= 4 }

Back

f(3) = 2(3) + 12 = 18.

Front

Evaluate f(8) for the piecewise function defined as: f(x) = { x^2 - 4 if x < 5; 4x - 4 if x >= 5 }

Back

f(8) = 4(8) - 4 = 36.

Front

Evaluate f(2) for the piecewise function defined as: f(x) = { -x - 1 if x < 0; 3x - 9 if x >= 0 }

Back

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

Front

Evaluate f(-4) for the piecewise function defined as: f(x) = { 2x + 9 if x < -2; x + 5 if x >= -2 }

Back

f(-4) = 2(-4) + 9 = 1.

Front

Evaluate f(5) for the piecewise function defined as: f(x) = { x^2 if x < 5; 3x - 6 if x >= 5 }

Back

f(5) = 3(5) - 6 = 9.

Front

What is the domain of a piecewise function?

Back

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

Front

What is the range of a piecewise function?

Back

The range of a piecewise function is the set of all possible output values (f(x)) that the function can produce.