# Calculus I: Functions and Models

MerryKunzite
·
·

Start Quiz

Study Flashcards

## 15 Questions

R

(−∞, ∞)

{x : a ≤ x < b}

{x : x ≥ a}

أنتقي هذا

### Which set of numbers includes all the natural numbers, zero, and negative integers?

The integer numbers: Z

[a, ∞)

y-axis

### What is the formula for calculating the slope of a line passing through the points (x1 , y1 ) and (x2 , y2 )?

$\frac{y2 - y1}{x2 - x1}$

{x : a < x < b}

### What is the definition of a limit for a function f(x) as x approaches a?

The values of f(x) get arbitrarily close to L as x gets arbitrarily close to a, but not equal to a

### What does the notation lim f(x) = L x→a+ indicate?

The limit of f(x) as x approaches a from the right and equals L

### When does the limit lim f(x) = L x→a exist?

When lim f(x) from the left equals lim f(x) from the right, and both are equal to L

### What is the alternative notation for lim f(x) = L x→a?

f(x) approaches L as x approaches a

### If the values of f(x) get closer to different limits as x approaches a from the left and right, what does the limit lim f(x) x→a+ x→a- indicate?

Does Not Exist (DNE)

Test your knowledge on Chapter 1 of Calculus I by Dr. Adnan Daraghmeh at An-Najah National University. This quiz covers topics including functions, models, sets of numbers, and types of intervals.

## Make Your Own Quizzes and Flashcards

Convert your notes into interactive study material.

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: