Select all of the following functions for which the extreme value theorem guarantees the existence of an absolute maximum and minimum. Select all that apply: f(x)=|x| over [-2,2] g(x)=x^2 over [-1,1] h(x)=ln(x) over [0,3] j(x)=x^3 over (-1,1)
Added by Kelly C.
Step 1
a) f(x)=∣∣x∣∣ over [−2,2] This function is continuous on the closed interval [-2,2], so the extreme value theorem guarantees the existence of an absolute maximum and minimum. b) g(x)=x2 over [−1,1] This function is also continuous on the closed interval [-1,1], Show more…
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