Question

Find an example of a function f that is (i) continuous on (1, 4), (ii) not...

Find an example of a function f that is (i) continuous on (1, 4), (ii) not uniformly continuous on (1, 4) and (iii) uniformly continuous (2, 4)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We know that any continuous function f : [a, b] → R is uniformly continuous on...
We know that any continuous function f : [a, b] → R is uniformly continuous on the finite closed interval [a, b]. (i) What is the definition of f being uniformly continuous on its domain? (This definition is meaningful for functions f : J → R defined on any interval J ⊂ R.) (ii) Given a differentiable function f : R → R, prove that if the derivative f ′ is a bounded function on R, then f is uniformly...
Let f be a continuous function on the real line. Suppose f is uniformly continuous on...
Let f be a continuous function on the real line. Suppose f is uniformly continuous on the set of all rationals. Prove that f is uniformly continuous on the real line.
1. Find the constants a and b so that the function f is continuous, where f(x)...
1. Find the constants a and b so that the function f is continuous, where f(x) =(ax^2 + bx if x <=1 or x > 2; (7x+4) 3 if 1 < x <= 2
Show that the function f(x) = x^2 + 2 is uniformly continuous on the interval [-1,...
Show that the function f(x) = x^2 + 2 is uniformly continuous on the interval [-1, 3].
Let f (x) = −x^4− 4x^3. (i) Find the intervals of increase/decrease of f . (ii)...
Let f (x) = −x^4− 4x^3. (i) Find the intervals of increase/decrease of f . (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f
show that if f is a bounded increasing continuous function on (a,b), then f is uniformly...
show that if f is a bounded increasing continuous function on (a,b), then f is uniformly continuous. Hint: Extend the function to [a,b].
Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6,...
Y is a continuous random variable with a probability density function f(y)=a+by and 0<y<1. Given E(Y^2)=1/6, Find: i) a and b. ii) the moment generating function of Y. M(t)=?
Theorem 4 states “If f is differentiable at a, then f is continuous at a.” Is...
Theorem 4 states “If f is differentiable at a, then f is continuous at a.” Is the converse also true? Specifically, is the statement “If f is continuous at a, then f is differentiable at a” also true? Defend your reasoning and/or provide an example or counterexample (Hint: Can you find a graphical depiction in the text that shows a continuous function at a point that is not differentiable at that point?)
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1....
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1. Explain the difference. Do the same for f (2x) and 2f (x). ii) Sketch y = f (x) on the interval [−2, 2]. iii) Solve the equations f (x) = 1.2 and f (x) = 2. In each case, if a solution does not exist, explain. iv) What is the domain of f (x)? b.)Let f (x) = √x −1 and g (x) =...
prove that this function is uniformly continuous on (0,1): f(x) = (x^3 - 1) / (x...
prove that this function is uniformly continuous on (0,1): f(x) = (x^3 - 1) / (x - 1)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT