Relations, Functions, & Linear vs. Nonlinear

Front

What is a function?

Back

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

Front

Which relation is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

What is the point where the two axes intersect called?

Back

The origin.

Front

What is the first number in an ordered pair?

Back

The x-coordinate.

Front

What is the plane containing the x-axis and the y-axis called?

Back

The coordinate plane.

Front

Is the relation {(1,2), (2,3), (3,4), (1,5)} a function?

Back

Not a Function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on the coordinate plane.

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point.

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line.