The slope of a function f(x) is known to be 0 at point x*. The function may not attain extremum point at x*.  Select one:TrueFalse

If slope is zero for a quadratic function, the point indicates the maximum value of the function.Select one:TrueFalse

Suppose f(x) is a quadratic function. The slope of f(x) at the extremum point is a.0b.infinitec.negatived.positive

If y=f(x) and the function is known to attain a maximum point at x0, then at the point x0a.f’(x0) <0b.f’(x0) >0c.f’’(x0) >0d.f’’(x0) <0

Estimate the input value(s) where the function has a relative extreme point. Identify each relative extreme as a maximum or minimum, and indicate whether the derivative of the function at that point is zero or does not exist.input value maximumor minimum? derivativex = (smaller value) x = (larger value)

Suppose function f(x) and its derivative f'(x) is well-defined for all real-valued x. It is known that f(x) has only one stationary point x=1. Is it correct to conclude that x=1 is either a maximum or minimum point for f(x)? Question 2 Select one: True False