Question

Using only definition 4.3.1 (continuity), prove that f(x)=x2+3x+4 is continuous on R.

Using only definition 4.3.1 (continuity), prove that f(x)=x2+3x+4 is continuous on R.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
show that any polynomial is continuous on R using the epsilon-delta definition of continuity (not the...
show that any polynomial is continuous on R using the epsilon-delta definition of continuity (not the limit definition)
1a. Using the e − δ definition of continuity, show that the absolute value function f(x)...
1a. Using the e − δ definition of continuity, show that the absolute value function f(x) = |x| is continuous at every point a. 1b. Use the e−δ defintion of continuity to prove that any linear function f(x) = mx+b (with m, b constants) is continuous at every point a. (You should be able to find a formula for δ in terms of e, and the slope m.)
Use the ε-δ-definition of continuity to show that if f, g : D → R are...
Use the ε-δ-definition of continuity to show that if f, g : D → R are continuous then h(x) := f(x)g(x) is continuous in D.
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) =...
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) = 1/f(x) is a continuous function.   Use the epsilon-delta definition of continuity and please overexplain and check your work before answering.
Use ε − δ definition to prove that the function f (x) = 2x/3x^2 - 2...
Use ε − δ definition to prove that the function f (x) = 2x/3x^2 - 2 is continuous at the point p = 1.
let F : R to R be a continuous function a) prove that the set {x...
let F : R to R be a continuous function a) prove that the set {x in R:, f(x)>4} is open b) prove the set {f(x), 1<x<=5} is connected c) give an example of a function F that {x in r, f(x)>4} is disconnected
Use each definition of a continuous function to prove that every function f: Z --> R...
Use each definition of a continuous function to prove that every function f: Z --> R is continuous
Prove the product rule for derivatives using only the following definition of derivative: [f(x) - f(a)]...
Prove the product rule for derivatives using only the following definition of derivative: [f(x) - f(a)] / (x-a)
1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is...
1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is uniformly continuous on the disk {z : |z| < 2}. 2. Describe the image of the circle |z-3| = 1 under the mapping w = f(z) = 5-2z. Be sure to show that your description is correct. Please show full explaination.
Prove that the function f(x) = x2 is uniformly continuous on the interval (0,1).
Prove that the function f(x) = x2 is uniformly continuous on the interval (0,1).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT