12/17 8.15 & 8.16 Practice Test

Front

What is a domain in a relation?

Back

The domain is the set of all possible input values (x-values) for a function or relation.

Front

What is a range in a relation?

Back

The range is the set of all possible output values (y-values) for a function or relation.

Front

What defines a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

Identify the function from the following sets: (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3,8), (6,-5) (7,-3) (8,-1) (9,1), (2,-2) (5,9) (5,-7) (1,4).

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because all x-values are unique.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

Given the equation y = 4x + 3, what is the slope?

Back

The slope is 4.

Front

Given the equation y = 1/4x + 2, what is the y-intercept?

Back

The y-intercept is 2.