Functions and Coordinate Plane

Front

What is a function?

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 coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).

Front

What does the equation y = x + 5 represent?

Back

This equation represents a linear function where the output (y) increases by 1 for every increase of 1 in the input (x), with a y-intercept of 5.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2, indicating that for every increase of 1 in x, y increases by 2.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function creates a straight line when graphed, while a non-linear function creates a curve.

Front

What is the significance of the x-axis in the coordinate plane?

Back

The x-axis is the horizontal line in the coordinate plane where y = 0.

Front

What is the significance of the y-axis in the coordinate plane?

Back

The y-axis is the vertical line in the coordinate plane where x = 0.