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 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 then use the corresponding expression to find the function's value.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a function value 'does not exist'?

Back

It means that the function is not defined for that particular input value, often due to the input falling outside the function's domain.

Front

Evaluate f(-7) if f(x) = { 3 for x < -5; 4 for -5 ≤ x < 0; 0 for x ≥ 0 }

Back

f(-7) = 3.

Front

Evaluate f(-2) if f(x) = { 3 for x < -5; 4 for -5 ≤ x < 0; 0 for x ≥ 0 }

Back

f(-2) = 4.

Front

Evaluate f(5) if f(x) = { 9 for x < 0; 24 for 0 ≤ x < 10; 1 for x ≥ 10 }

Back

f(5) = 9.

Front

Evaluate f(1) if f(x) = { 19 for x < 0; 0 for 0 ≤ x < 5; 2 for x ≥ 5 }

Back

f(1) = 0.

Front

Evaluate f(-4) if f(x) = { -3 for x < -5; 1 for -5 ≤ x < 0; 2 for x ≥ 0 }

Back

f(-4) = 1.

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