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 at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the function's value.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

If a piecewise function is undefined at a certain point, it means there is no output value for that input, often due to the input not falling within any defined interval.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(0) for the piecewise function: f(x) = { 4 if x < 1; undefined if x = 1; 2 if x > 1 }

Back

f(0) = 4.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(2) for the piecewise function: f(x) = { 1 if x < 3; 3 if x = 3; 4 if x > 3 }

Back

f(2) = 1.

Tags

CCSS.HSF.IF.A.2

Front

Using the graph of a piecewise function, how do you find f(-3)?

Back

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

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(1) for the piecewise function: f(x) = { undefined if x < 1; 1 if x = 1; 2 if x > 1 }

Back

f(1) = 1.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(-4) for the piecewise function: f(x) = { 2 if x < -2; undefined if -2 ≤ x ≤ 0; 3 if x > 0 }

Back

f(-4) = 2.

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