Evaluating 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 is the value of f(0) if f(x) = { 2x + 4 for x < 0; 3x - 2 for x >= 0 }?

Back

f(0) = 3(0) - 2 = -2.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(4) if f(x) = { 2x - 5 for x < 5; x + 1 for x >= 5 }.

Back

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

Tags

CCSS.HSF.IF.A.2

Front

What is the value of f(-1) if f(x) = { -2x for x < 0; x^2 for x >= 0 }?

Back

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

Tags

CCSS.HSF.IF.A.2

Front

What is the value of g(7) if g(x) = { x^2 - 2x for x < 5; 3x - 4 for x >= 5 }?

Back

g(7) = 3(7) - 4 = 17.

Tags

CCSS.HSF.IF.A.2

Front

Find f(1) if f(x) = { x^2 - 4 for x < 2; 2x + 1 for x >= 2 }.

Back

f(1) = 1^2 - 4 = -3.

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) 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.

Tags

CCSS.HSF-IF.C.7B

Front

How can you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function on its respective interval and ensure to use open or closed dots based on whether the endpoints are included.

Tags

CCSS.HSF-IF.C.7B