Pre-AP Algebra 2 Unit 3 Exam Flashcards

What is the definition of Domain?

What is the definition of Range?

What is the domain and range of any line (except vertical lines)?

What does the graph of a radical function look like?

What is the input in a function?

What is the output in a function?

{(3,1) (2,8) (-3,8) (5,6)} is a function?

{(3,1) (2,8) (-3,8) (5,6) (2,10)} is a function?

What is the domain and range of x=3?

What is the domain and range of y=-2?

What does the graph of an absolute value function look like?

What is the slope of a vertical line and its y-intercept?

What is the slope of a horizontal line and its y-intercept?

In application problems, what does 'constant growth' equate to?

In application problems, what is x usually and what is y usually?

Key Concepts in Pre-AP Algebra 2

Domain refers to all possible x-values in a function.
Range denotes all possible y-values in a function.
For any non-vertical line, the domain is all real numbers, and the range is also all real numbers.
The graph of a radical function features a curved line.
A function is a relation where each x in the domain has exactly one corresponding y in the range; hence, a unique output for each input.
Input corresponds to the domain, whereas output refers to the range.

Assessing Functions

The set of points {(3,1), (2,8), (-3,8), (5,6)} is a function because no x-value is repeated with different y-values.
The set {(3,1), (2,8), (-3,8), (5,6), (2,10)} is not a function because the x-value of 2 maps to both 8 and 10, violating the definition of a function.
The equation x=3 is not a function; its domain is solely 3, and its range includes all real numbers.
The equation y=-2 is a function with an unrestricted domain of all real numbers and a fixed range of -2.

Graphing Functions

The graph of an absolute value function forms a "V" shape.
A vertical line has no slope (undefined) and no y-intercept, as it does not cross the y-axis at a single point.
A horizontal line has a slope of 0 (no rise, only run) and its y-intercept is determined by the point where it intersects the y-axis.

Application of Concepts

In practical problems, constant growth is represented by the slope of a line.
Typically, in application scenarios, x represents time (years), while y indicates the outcome being measured.

Prepare for the Pre-AP Algebra 2 Unit 3 Exam with these flashcards covering key concepts such as domain, range, and function types. This quiz will help reinforce your understanding of the mathematical definitions and concepts crucial for success in Algebra II.