PC - Semester 1 - Chapter 1 Part 1 2324

Front

What does DNE stand for in mathematics?

Back

DNE stands for 'Does Not Exist', indicating that a limit or value cannot be determined.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.

Front

How do you determine where a function is decreasing?

Back

A function is decreasing on intervals where its derivative is negative.

Front

What is the significance of the notation (−∞, −2.55) U (0, 2.55)?

Back

This notation indicates that the function is decreasing in the intervals from negative infinity to -2.55 and from 0 to 2.55.

Front

What does the notation U represent in interval notation?

Back

The notation U represents the union of two intervals.

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur at values of x that make the denominator zero, provided the numerator is not also zero at those points.

Front

What is the limit of a function as x approaches negative infinity?

Back

The limit of a function as x approaches negative infinity describes the behavior of the function as x decreases without bound.

Front

What does it mean if a limit is equal to 0?

Back

If a limit is equal to 0, it means that as x approaches a certain value, the function approaches 0.

Front

What is the difference between a limit that exists and one that does not exist (DNE)?

Back

A limit exists if the function approaches a specific value; it does not exist (DNE) if the function approaches infinity or oscillates.

Front

What is the meaning of the notation x = 0 in the context of vertical asymptotes?

Back

The notation x = 0 indicates a vertical asymptote at the y-axis.