Unit 4 Review (More Functions, More Features)

Front

What is a piecewise function?

Back

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

Tags

CCSS.HSF-IF.C.7B

Front

How do you find the value of a function at a specific point using a graph?

Back

To find the value of a function at a specific point using a graph, locate the x-coordinate on the graph and determine the corresponding y-coordinate.

Tags

CCSS.HSF.IF.A.2

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Tags

CCSS.6.NS.C.7C

Front

What is the general form of an absolute value function?

Back

The general form of an absolute value function is f(x) = a|x - h| + k, where (h, k) is the vertex of the graph.

Tags

CCSS.HSF-IF.C.7D

Front

What does the vertex of an absolute value function represent?

Back

The vertex of an absolute value function represents the minimum or maximum point of the graph, depending on the direction it opens.

Tags

CCSS.HSF-IF.C.7D

Front

How do you express intervals in interval notation?

Back

In interval notation, intervals are expressed using parentheses for open intervals and brackets for closed intervals. For example, (a, b) means a < x < b, while [a, b] means a ≤ x ≤ b.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Tags

CCSS.HSA.CED.A.3

Front

How do you determine the domain of a piecewise function?

Back

The domain of a piecewise function is determined by the intervals over which each piece of the function is defined.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept of a function is the point where the graph intersects the y-axis, representing the value of the function when x = 0.

Front

How do you identify the range of a function from its graph?

Back

The range of a function can be identified by observing the set of all possible y-values that the function can take on the graph.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1