PC Evaluate 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 intervals of the input variable.

Front

How do you evaluate a piecewise function?

Back

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

Front

What is the output of f(x) = 2x - 5 when x = 4?

Back

f(4) = 2(4) - 5 = 3.

Front

What is the output of f(x) = 3 when x = 6?

Back

f(6) = 3.

Front

What is the output of f(x) = ½x + 1 when x = 4?

Back

f(4) = ½(4) + 1 = 3.

Front

What is the output of f(x) = -3 when x = 0?

Back

f(0) = -3.

Front

What is the output of f(x) = 2x - 5 when x = 3?

Back

f(3) = 2(3) - 5 = 1.

Front

What is the output of f(x) = 4 when x = -2?

Back

f(-2) = 4.

Front

What is the output of g(x) = -3x + 1 when x = 4?

Back

g(4) = -3(4) + 1 = -11.

Front

What is the output of g(x) = 2x - 9 when x = 5?

Back

g(5) = 2(5) - 9 = 1.