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 its domain.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF.IF.A.2

Front

What is the formula for calculating earnings in a piecewise function scenario?

Back

Earnings = (Hourly Rate for first interval * Hours in first interval) + (Hourly Rate for second interval * Hours in second interval) + (Hourly Rate for third interval * Hours in third interval) if applicable.

Front

If a painter works 50 hours, how do you calculate his earnings?

Back

Earnings = (12 * 40) + (18 * 10) = $480 + $180 = $660.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is f(-5) if f(x) = {0, x < -3; 2, -3 ≤ x < 1; 5, x ≥ 1}?

Back

f(-5) = 0.

Tags

CCSS.HSF.IF.A.2

Front

What is g(7) if g(x) = {x - 10, x < 0; 2x + 3, 0 ≤ x < 10; 3x - 5, x ≥ 10}?

Back

g(7) = 2(7) + 3 = 17.

Front

Using a graph, how do you find f(-3)?

Back

Locate -3 on the x-axis, then find the corresponding y-value on the graph.

Tags

CCSS.HSF.IF.A.2

Front

What is f(2) if f(x) = {0, x < 1; 1, 1 ≤ x < 3; 3, x ≥ 3}?

Back

f(2) = 1.

Tags

CCSS.HSF.IF.A.2

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-values) 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 (y-values) that the function can produce.

Tags

CCSS.HSF-IF.C.7B