Find the values of a and b if the function and f(x) decreases toand then increases, and f(1) = -29

Function f(x)=2x3−9x2+12x+29𝑓𝑥=2𝑥3-9𝑥2+12𝑥+29 is decreasing when x∈(a, b)𝑥∈𝑎, 𝑏 then find value of a+b𝑎+𝑏.

Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -3x2 + 12x + 36

A table of values of an increasing function f is shown. Use the table to find lower and upper estimates for 30f(x) dx.10lower estimate     upper estimate     x 10 14 18 22 26 30f(x)−11−5−1257

If f(x) = x2 - bx + 15 and (2, 3) is an ordered pair that satisfies f(x), what is the value of 6b?(A) -12(B) 18(C) 36(D) 48

Given the function( ) ( 3)( 2)y x x x= + − , for4 4x−   . What is the value of x atwhich the function has a minimum?(A)32−(B)12−(C)12(D)32