NC Math 3 EOC Review #3

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).

Front

How do you determine the intervals where a function is increasing from its graph?

Back

To determine where a function is increasing, look for sections of the graph where the y-values rise as you move from left to right.

Front

What is the definition of an absolute value function?

Back

Front

How do you write an absolute value inequality?

Back

Front

Back

It represents that the value of x (e.g., tire pressure) is within 2 psi of the recommended pressure of 30 psi.

Front

Back

Front

What is the significance of the endpoints in an increasing function's interval?

Back

Endpoints indicate where the function starts and stops being increasing; they can be included or excluded based on whether the function is defined at those points.

Front

How do you find the critical points of a function?

Back

Critical points are found by setting the derivative of the function to zero or identifying where the derivative does not exist.

Front

What is the relationship between the first derivative and the increasing/decreasing behavior of a function?

Back

If the first derivative is positive, the function is increasing; if negative, the function is decreasing.

Front

What does it mean for a function to have a local maximum?

Back

A local maximum occurs at a point where the function value is higher than the values of the function at nearby points.