Pre-AP Algebra 2 Unit 3 Exam Flashcards

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.

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.

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.

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.