Continuity At x = 1

[nycmathdad]

Determine whether f(x) = 3x^2 − 5x + 4 is continuous at x = 1.

Let me see.

1. Is f(1) defined?

Let x = 1

f(1) = 3(1)^2 - 5(1) + 4

f(1) = 3 - 5 + 1

f(1) = 2

Condition 1 is satisfied.

2. The limit of f(x) as x tends to 1 from the left and right is the same.

Condition 2 is satisfied.

3. The limit of f(x) as x tends to 1 = f(1).

I conclude by saying that the function is continuous at x = 1.

Question:

Can we say this about all polynomials? I say yes.

 

[Harry_the_cat]

Yes all polynomials functions are continuous ( except if they have a restricted domain).

 

[jonah2.0]

Beer soaked ramblings follow.

Determine whether f(x) = 3x^2 − 5x + 4 is continuous at x = 1.

Let me see.

1. Is f(1) defined?

Let x = 1

f(1) = 3(1)^2 - 5(1) + 4

f(1) = 3 - 5 + 1

f(1) = 2

Condition 1 is satisfied.

2. The limit of f(x) as x tends to 1 from the left and right is the same.

Condition 2 is satisfied.

3. The limit of f(x) as x tends to 1 = f(1).

I conclude by saying that the function is continuous at x = 1.

Question:

Can we say this about all polynomials? I say yes.

Is f(x) Continuous?

Determine whether f(x) = 3x^2 − 5x + 4 is continuous at x = 1. Let me see. 1. Is f(1) defined? Let x = 1 f(1) = 3(1)^2 - 5(1) + 4 f(1) = 3 - 5 + 1 f(1) = 2 Condition 1 is satisfied. 2. The limit of f(x) as x tends to 1 from the left and right is the same. Condition 2 is satisfied...

mathforums.com

 

[Harry_the_cat]

What's going on here Jonah? Is nycmathdad just reposting other posts??

 

[jonah2.0]

What's going on here Jonah? Is nycmathdad just reposting other posts??

Yes.
He once said in response to Skeeter when Skeeter told him somewhat irritatingly that he could just Google his questions that he wanted a "discussion". I suppose he wants a discussion.

 

[nycmathdad]

What's going on here Jonah? Is nycmathdad just reposting other posts??

The idea is to start fresh here but no matter where I go, this guy jonah just will not stop pestering me. Sorry for reposting threads from other sites that I plan to leave behind. I guess my time here will be short unless jonah decides to ignore my threads as I have been begging him to do since the days of George Washington.