Function or Not?

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

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value is repeated with a different y-value.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the 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

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What does it mean for a graph to be nonlinear?

Back

A nonlinear graph does not form a straight line and can represent relationships that change at varying rates.

Front

How do you find the rate of change from a graph?

Back

The rate of change can be found by calculating the slope between two points on the graph.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

What is the solution to the equation y = -5x when x = 1?

Back

The solution is (1, -5).