For the functions f(x) graphed below, indicate which approximation or approximat

Question

For the functions f(x) graphed below, indicate which approximation or approximations is or are guaranteed to give an underestimate for f^3_0 f(x) dx and which an overestimate. For this f(c), indicate which give(s) an underestimate for the integral LEFT(n) RIGHT(n) TRAP(n) MID(n) For this f(x), indicate which give(s) an overestimate for the integral LEFT(n) RIGHT(n) TRAP(n) MID(n) For this f(x), indicate which give(s) an underestimate for the integral RIGHT(n) TRAP(n) MID(n) LEFT(n) For this f(x). indicate which give(s) an overestimate for the integral TRAP(n) LEFT(n) MID(n) RIGHT(n)

Explanation / Answer

A) Given function is both decreasing and increasing

Then underestimate for the MID(N) integral

Then over estimate for the TRAP(N)

B) GIVEN function is decreasing

Then underestimate is for RIGHT(N)

Overestimate is for LEFT(N)

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