Math 4 Unit 2 Piecewise Functions-Flashcard -1B - Makeup

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 find the x-value where two piecewise functions intersect?

Back

Set the two functions equal to each other and solve for x.

Tags

CCSS.HSA.REI.C.7

Front

What does the notation f(x) = -4x - 10 represent?

Back

It represents a linear function where the slope is -4 and the y-intercept is -10.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.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

How do you evaluate a function at a specific point, such as h(-1)?

Back

Substitute -1 into the function h(x) and simplify to find the output value.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to be undefined at a certain point?

Back

A function is undefined at a certain point if there is no valid output for that input, often due to division by zero or taking the square root of a negative number.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What are domain restrictions in piecewise functions?

Back

Domain restrictions specify the intervals over which each piece of the function is valid.

Tags

CCSS.HSF-IF.C.7B

Front

How do you determine the range of a piecewise function?

Back

The range is determined by finding the output values for each piece of the function over its defined domain.

Tags

CCSS.HSF-IF.C.7B

Front

What is the significance of the inequality 1 ≤ x < 3 in a piecewise function?

Back

It indicates that the piece of the function is valid for x-values starting from 1 (inclusive) to 3 (exclusive).

Tags

CCSS.HSF-IF.C.7B

Front

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

Back

Evaluate the function using the appropriate piece that corresponds to the boundary point.

Tags

CCSS.HSF.IF.A.2