Piecewise Functions Practice Redo

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

How do you determine the number of pieces in a piecewise function?

Back

Count the number of distinct intervals or conditions that define the function.

Tags

CCSS.HSF-IF.C.7B

Front

What does the notation f(x) = abs(x) represent?

Back

It represents the absolute value function, which outputs the non-negative value of x.

Front

How do you evaluate a piecewise function at a specific point?

Back

Identify the interval that contains the point and use the corresponding expression to find the function's value.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What does it mean for a function to be defined for x ≤ 2?

Back

It means that the function's expression applies to all values of x that are less than or equal to 2.

Front

How do you find f(2) in a piecewise function?

Back

Locate the piece of the function that applies when x = 2 and substitute 2 into that expression.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of domain restrictions in piecewise functions?

Back

Domain restrictions specify the valid input values for each piece of the function, ensuring the function is well-defined.

Tags

CCSS.HSF-IF.C.7B

Front

What is the output of f(-4) if the piecewise function states f(x) = 7 for x < -3?

Back

The output is 7, as -4 falls within the interval where f(x) = 7.

Tags

CCSS.HSF.IF.A.2

Front

What does the notation -10 < t < -2 indicate?

Back

It indicates that t is restricted to values greater than -10 and less than -2.