Wednesday

November 26, 2014

November 26, 2014

Posted by **Shalma** on Monday, January 3, 2011 at 9:23pm.

x 0 3 5 6

f -1 4 -1 -3

f' 5 0 -8 0

f" -1 -3 DNE 3

x 0<x<3 3<x<5 5<x<6

f' + - -

f" - - +

(they are both tables)

Identify the points of inflection

a. There are no points of inflection

b. (5, -1) only

c. (3,4) and (6, 3)

d. (3,4) only

e. (3,4),(6,-3), and (5, -1)

Please explain in details how you got the answer

THANK YOU :)

- Calculus -
**Van**, Sunday, January 9, 2011 at 8:00pmAnswer is b. (5,-1) only

Explanation:

Points of inflection are present when f"=0 or is undefined (DNE). From the first table, you can see that f" is not 0 for any values of x, but is undefined for x=5, so there can be a possible point of inflection at x=5. Then, look at the second table. Points of inflection are where concavity changes, where f" changes from one sign to another (- to +, or + to -). At x=5, the only possible point of inflection taken from the first table, f" does change from - to +, so there is a point of inflection at x=5. At x=5, f=-1, so the point is (5,-1) (aka the answer is b).

**Answer this Question**

**Related Questions**

Math11 - Hello, I dont know how to do this, please help. Thank you. 1).Does the ...

Calculus - Let f be a continuous function on the interval [0,2] which satisfies ...

calculus - In the following problem, suppose f(x) is continuous (and ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

calculus - Suppose f of x equals 3 times x minus k when x is less than 5 and ...

Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...

Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...

Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...