CFA 2

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

What is the definition of a mapping?

Back

A mapping is a relationship that pairs each element of one set with an element of another set.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no two ordered pairs have the same first element with different second elements.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if, as you move from left to right, the y-values rise.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as you move from left to right, the y-values fall.

Front

What does it mean for a graph to be both increasing and decreasing?

Back

A graph can be both increasing and decreasing if it has sections where it rises and sections where it falls.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph at more than one point, it is not a function.

Front

What is a slope in mathematics?

Back

The slope is a measure of the steepness of a line, calculated as the rise over the run between two points on the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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.