Relations, Functions, & Linear vs. Nonlinear

Front

Is the function represented by the graph linear or nonlinear?

Back

Linear functions have a constant rate of change and can be represented by a straight line on a graph.

Front

The point where the two axes intersect is known as...

Back

The origin. It is the point (0,0) on a coordinate plane.

Front

Is the function Linear or Nonlinear?

Back

Linear functions can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Is this mapping a function or not a function?

Back

A mapping is a function if every input has exactly one output.

Front

The first number in an ordered pair is...

Back

The x-coordinate, which represents the horizontal position on a graph.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines when graphed, while nonlinear functions create curves.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the function, indicating how steep the line is.

Front

What is an ordered pair?

Back

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

Front

What is the domain of a function?

Back

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