Using the Candidates Test to Find Absolute (Global) Extrema Quiz

Let f be the function defined by f(x)=3x^2−x^3. What is the absolute minimum value of f on the closed interval [1,5/2] ?

2

Let g be the function given by g(x)=x^4−4/3x^3. At what value of x on the closed interval [−1,1] does g have an absolute maximum?

-1

Let g be the function given by g(x)=3x^4−8x^3. At what value of x on the closed interval [−2,2] does g have an absolute maximum?

-2

Let f be the function defined by f(x)=12x−x^3. What is the absolute minimum value of f on the closed interval [0,3] ?

0

Let g be the function defined by g(x)=|x|+2|1−x|. What is the absolute minimum value of g on the closed interval [−2,2] ?

1

Let g be the function defined by g(x)=|x|−3|x+1|. What is the absolute maximum value of g on the closed interval [−2,2]?

1