Math 8 - Mastery Check 5.1 Practice

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the curve more than once, then the curve is not a function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that define a position in a two-dimensional space.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is changed or controlled in a mathematical experiment, while the dependent variable is the variable that is tested and measured.

Front

What is a set of points?

Back

A set of points is a collection of coordinates that can represent locations in a space, often used to analyze relationships in functions.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form Ax + By = C.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.