NC Math 3 EOC Review

Front

What is an increasing function?

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?

Back

To find where a function is increasing, analyze the derivative of the function. If the derivative is positive on an interval, the function is increasing on that interval.

Front

What does the notation [a, b] represent in interval notation?

Back

The notation [a, b] represents a closed interval that includes the endpoints a and b.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x. It is defined as |x| = x if x ≥ 0 and |x| = -x if x < 0.

Front

How do you write an absolute value inequality?

Back

An absolute value inequality can be written in the form |x - a| < b, which means that the distance between x and a is less than b.

Front

What is the significance of the manufacturer's recommended tire pressure?

Back

The manufacturer's recommended tire pressure is the optimal pressure for safety, performance, and fuel efficiency. Keeping tire pressure within the recommended range is crucial.

Front

How do you express a range of values using absolute value?

Back

To express a range of values using absolute value, you can write it as |x - a| ≤ b, which indicates that x is within b units of a.

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval [a, b] includes its endpoints a and b, while an open interval (a, b) does not include its endpoints.

Front

What does it mean for a function to be decreasing?

Back

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

Front

How can you find the maximum or minimum value of a function?

Back

To find the maximum or minimum value of a function, you can use calculus to find the critical points by setting the derivative equal to zero and analyzing the second derivative.