Question

Out of these, which is the false statement?

a) f(x) is concave-up on at least two disjoint open intervals

b) f'''(x) is defined everywhere

c) f''(x) is defined everywhere

d) f'(x) is defined everywhere

e) f''(x) < 0

f) f(x) is concave-up on at least two disjoint closed intervals

g) f(VI) = 0

h) There are at least 2 critical numbers

i) f'(0) < 0

j) There is at least 1 inflection point

Refer to the graph of y-fx) (a 5th degree polynomial) below. Exactly one of the following statements is false. Choose the false option/ statement. 2.5 0 2.5 2.5