Question

(6 points) Let the function f be defined by f(x) Indicate whether the following statements are True (T) or False (F): You must get all answers correct in order to receive credit: 1. All negative real numbers are in the domain of f 2. 5 is in the domain of f 3. All positive real numbers are in the domain of f 4. 0 is in the domain of f 5. f(x) is never zero 6. f(x) is never positive 7. f(x) is never negative Hint: Draw the graph of f .

          (6 points) Let the function f be defined by f(x) Indicate whether the following statements are True (T) or False (F): You must get all answers correct in order to receive credit: 1. All negative real numbers are in the domain of f
2. 5 is in the domain of f
3. All positive real numbers are in the domain of f
4. 0 is in the domain of f 5. f(x) is never zero 6. f(x) is never positive 7. f(x) is never negative
Hint: Draw the graph of f .

Show more…

Added by Luis Miguel D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/09/2022

Step 1

The domain is from -1 to 1, excluding the endpoints. ** Show more…

Show all steps

lock

Thanks for your feedback!

(6 points) Let the function f be defined by f(x) Indicate whether the following statements are True (T) or False (F): You must get all answers correct in order to receive credit: 1. All negative real numbers are in the domain of f 2. 5 is in the domain of f 3. All positive real numbers are in the domain of f 4. 0 is in the domain of f 5. f(x) is never zero 6. f(x) is never positive 7. f(x) is never negative Hint: Draw the graph of f .

Play audio

Feedback

Powered by NumerAI

Adi S and 95 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:02 In this question, we are given a function f of x is equals to 1 over square root of 1 negative x squared.

00:09 So we have to answer certain number of questions with true or false.

00:13 So let us construct a graph which looks like this.

00:18 So this is f of x is equals to 1 over square root of 1 negative of x square graph.

00:25 And let us mark this point which is 0 comma 1.

00:28 So the first question is, all negative real numbers are in the domain of f.

00:36 For that, first, we have to identify the domain.

00:39 So the domain here ranges from negative 1 to negative, sorry, positive 1.

00:48 So the domain is negative 1 to 1.

00:51 So from this we can say that all negative real numbers are in the domain of f is false.

00:56 So the answer for first one is false.

01:01 Next we have the question as the ray, sorry, one is in the domain of f.

01:08 So this is the second question we have.

01:11 So from this we can say that the domain ranges from negative 1 comma 1 in an open interval space.

01:18 So 1 is in the domain of f is false.

01:31 Because here the domain lies in the open interval negative 1 to 1.

01:36 So 1 is not a domain here.

01:39 So 3rd 1, we have all positive real numbers or in domain of f.

01:46 So what we have to say is all positive real numbers.

01:50 So which is also a false because we have the range from negative 1 to 1...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later