QUESTION 3 Match east test with t's appropriate name v Increasing Decreasing Test v Concavity Test v First Derivative Test v Second Derivative Test A. If the second derivative ofa function is positive on an open interval, then the graph of a function is concave up on that interval Ifthe second derivative of a function is negative on en open interval, then the graph of e function is concave dcnnn on that interval. a. If the derivative of e function is positive on en open interval, then it is increasing on that interval. Ifthe derivative of a function is negative on an open interval, then it is decreasing on that interval. C. Suppose the second derivative of a function is continuous at Ifthe first derivative at is zero end the second derivative at x = b is positive then there is e local nmnimum at x=b_ If the first derivative at is zero and the second derivative at is negative then there is local maximum at x=b. If the first derivative at is zero end the second derivative at is also zero then the test fails at D. Suppose is a critical number of a continuous function Ifthe derivative of the function changes from positive to negative at x = then the function has a local maximum at x = b _ Ifthe derivative of the function changes from negative to positive at then the function has a local minimum at Ifthe derivative does not change signs at then there is neither local maximum or minimum x=b.