Alg. 4.7 Graphing 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 determine the domain of a piecewise function?

Back

The domain of a piecewise function is the union of the domains of each piece, considering the intervals where each piece is defined.

Front

What does it mean for a function to be defined for all real numbers?

Back

It means that the function has a value for every possible input from negative infinity to positive infinity.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What is the domain of the quadratic piece labeled as 'B' if it is defined for x ≥ -1?

Back

The domain is x ≥ -1.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

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

Back

To evaluate a piecewise function at a specific point, identify which piece of the function applies to that input and use the corresponding formula.

Tags

CCSS.HSF.IF.A.2

Front

What is the value of f(-2) if f(x) is defined as a piecewise function and f(-2) = -4?

Back

f(-2) = -4.

Tags

CCSS.HSF.IF.A.2

Front

When evaluating f(x) at x = 4, how do you choose the correct function?

Back

You select the function that corresponds to the interval containing x = 4.

Front

What is the output of f(6) if f(6) = 7?

Back

The output is 7.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What is the significance of the notation f(x) = 2x + 1?

Back

It represents a linear function where the output is determined by multiplying the input x by 2 and then adding 1.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What does it mean if a function is defined as f(x) > 0?

Back

It indicates that the function's output is positive for the values of x in its domain.

Tags

CCSS.HSF.LE.B.5