Retake/Practice Piece-wise 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, determine which interval the input value falls into and then use the corresponding expression to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What does the notation f(x) = { x if x < 4; -x + 1 if x ≥ 4 mean?

Back

This notation means that for values of x less than 4, f(x) equals x, and for values of x greater than or equal to 4, f(x) equals -x + 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 (f(x) values) that the function can produce.

Tags

CCSS.HSF-IF.C.7B

Front

How do you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function according to its defined interval, ensuring to use open or closed circles to indicate whether endpoints are included.

Tags

CCSS.HSF-IF.C.7B

Front

What does the statement 6 < x < 10 mean?

Back

It means any number between 6 and 10, but not including 6 and 10.

Front

What is the value of f(1) if f(x) = { 3 if x < 2; 1 if x = 2; 0 if x > 2?

Back

f(1) = 3, since 1 is less than 2.

Tags

CCSS.HSF.IF.A.2

Front

What is the value of g(7) if g(x) = { -2x + 1 if x < 5; 2x - 1 if x ≥ 5?

Back

g(7) = 2(7) - 1 = 14 - 1 = 13.

Front

How do you determine continuity in piecewise functions?

Back

A piecewise function is continuous if there are no breaks, jumps, or holes in the graph, particularly at the points where the pieces meet.

Tags

CCSS.HSF-IF.C.7B