Posted by **Cecille** on Tuesday, February 22, 2011 at 7:48pm.

A continuous function f, defined for all x, has the following properties:

1. f is increasing

2. f is concave down

3. f(13)=3

4. f'(13)=1/4

Sketch a possible graph for f, and use it to answer the following questions about f.

A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an interval, the minimum and maximum are both N.)

−INF <x<= 0

0 <x<=1

1<x<13

13<=x<INF

I need the maximum and minimum... I just have the two first ones... 0 for both 1 and 2 maximum and minimum... then I really don't know what to do..

B. Are any of the following possible values for f'(1)? (Enter your answer as a comma-separated list, or enter 'none' if none of them are possible.) −3, −2, −1, −51, 0, 51, 1, 2, 3.

possible values: f'(1)=_________

C. What happens to f as x−>- INF?

lim x−> INF f(x)= ________

(Enter the value, 'infinity' or '-infinity' for or −, or 'none' if there is no limit.)

I realy don't know how to do these problems.. please help

## Answer This Question

## Related Questions

- Calculus Please Help - A continuous function f, defined for all x, has the ...
- calculus - Consider the exponential function . Which of the following best ...
- calculus - You are given that f(x) =1+ax+ax2 f′(x) =−(x+2)ax3 f&#...
- Calculus - Suppose that f(x), f'(x), and f''(x) are continuous for all real ...
- Calculus - Let f be the function defined for x >or= to 0 with f(0)=5 and f', ...
- calculus - Please help me solve. I think increase = concave up and decrease = ...
- calculus - Given f(x)=sin(x)-2cos(x) on the interval [0,2pi]. a) Determine where...
- Calc - Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find ...
- Calculus - The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), ...
- Calc - For the function f(x) = 5x^6 + 6x^5 - 15x^4 a.) find where the function ...

More Related Questions