Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Suppose f(x) is a function such that * The domain of fis (-oo,c0) * The graph of

ID: 2889554 • Letter: S

Question

Suppose f(x) is a function such that * The domain of fis (-oo,c0) * The graph of f' is df dr -+- + |-- AC On your own graph paper make a possible sketch of the function f(x) . It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph Note: Only 6 submissions allowed, but you lose a half point per submission Which of the following statements are true about the function f? Select all that apply. fis increasing on the interval (0,5) fis decreasing on the interval (2.5,c») f is decreasing on the interval (-,0) The slope of f is zero at the point x = 5 The slope of f is zero at the point x = 2.5. fis increasing on the interval (-co,2.5) f passes through the point (5,0)

Explanation / Answer

Local Maxima: where derivative changes from positive to negative

x=5

Local Minima: where derivative changes from negative to positive

x = 0