Rolle's theorem

Question

which of the following functions satisfies the conditions (or hypotheses) of Rolle's Theorem on the interval [−1,1]?

a 𝑦=|𝑥|

b 𝑦=(𝑥−1)^2(𝑥^2+1)/(𝑥+3)(𝑥^2−4𝑥+3)

c 𝑦=𝑒^𝑥

d 𝑦=𝑥^5−𝑥^3

e 𝑦=1/𝑥^2

Answer 1

d.. fits the criteria

a. & e. are out since the functions' derivative is non-existent at x=o

b. & c. are out since f(-1) not equal to f(1)