Calculus
posted by Brian .
Use the graph of f(x)=x^2/(x^24) to determine on which of the following intervals Rolle's Theorem applies. A) [0, 3] B) [3, 3] C) [3/2, 3/2] D) [2, 2] E) None of these

Roll's theorem applies to a continuous interval. So to answer the question, you will first need to look for discontinuities in the given rational function.
You will get the hint by searching for at what point(s) the denominator vanishes (i.e. becomes zero).
Respond to this Question
Similar Questions

calc
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f(x)= x sqrt(x+21) , [21,0] If there is more than one solution … 
calc
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [1/2,1/2] Well according to Rolle's Theorem, … 
URGENT!! PLEASE Calc
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [1/2,1/2] Well according to Rolle's Theorem, … 
Calculus
Determine if Rolle's Theorem applies to the given function f(x)=2 cos(x) on [0, pi]. If so, find all numbers c on the interval that satisfy the theorem. 
Calculus
1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[4,2]. If Rolle's Theorem can be applied, … 
Calculus
Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(x)=0. f(x) = x^(2/3)  1 [8,8] I plugged in both values … 
Calculus
Show that Rolle's Theorem applies to the given function for ht eg oven values of x: x=1 and x=4 for f(x)=3xx^2+2 
Calculus
Use the graph of f(x)=x^2/(x^24) to determine on which of the following intervals Rolle’s Theorem applies. A. [0, 3] B. [3, 3] C. [3/2, 3/2] D. [2, 2] E. none of these I know what the Rolle's Theorem is but I'm unsure on how … 
Please check my Calculus
1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal … 
calculus
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x^2/3 − 2, [−8, 8] 1) Yes, Rolle's Theorem can be applied. 2)No, because f is not continuous on the closed …