Math 8 Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the definition of a mapping?

Back

A mapping is a relationship between two sets that pairs each element of the first set with exactly one element of the second set.

Front

What does it mean for a mapping to be 'not a function'?

Back

A mapping is 'not a function' if at least one input is associated with more than one output.

Front

Identify if this set is a function: {(1,2), (2,3), (1,4)}

Back

Not a Function (1 is paired with both 2 and 4).

Front

Identify if this set is a function: {(3,4), (4,-3), (7,4)}

Back

Function (each input is paired with exactly one output).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.