Increasing and Decreasing Functions

Front

What is an increasing function?

Back

A function is increasing if, for any two points x1 and x2 in its domain, where x1 < x2, the value of f(x1) < f(x2).

Front

What is a decreasing function?

Back

A function is decreasing if, for any two points x1 and x2 in its domain, where x1 < x2, the value of f(x1) > f(x2).

Front

What does it mean if a function is constant?

Back

A function is constant if it does not change its value; for all x in its domain, f(x) = c, where c is a constant.

Front

How can you identify an increasing function on a graph?

Back

An increasing function on a graph will have a slope that rises as you move from left to right.

Front

How can you identify a decreasing function on a graph?

Back

A decreasing function on a graph will have a slope that falls as you move from left to right.

Front

What is the slope of an increasing function?

Back

The slope of an increasing function is positive.

Front

What is the slope of a decreasing function?

Back

The slope of a decreasing function is negative.

Front

What does a zero slope indicate about a function?

Back

A zero slope indicates that the function is constant.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed; it may curve or have varying slopes.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, characterized by a constant slope.