Linear Functions and Slope

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear function?

Back

Front

Back

Front

What is the definition of a function?

Back

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

Front

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

Back

No, it's not a function because the input '1' has two different outputs (2 and 4).

Front

What does it mean if a set of ordered pairs is a function?

Back

It means that for every x-value in the set, there is only one corresponding y-value.

Front

Back

Front

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

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.