Chapter 8.2, Problem 55E

To determine

Find the maxima and minima of function.

Answer to Problem 55E

  $\max ;\left(0,3\right),\min ;\left(0.67,2.85\right)$

Explanation of Solution

Given information:

The function,

  $y=x^3-x^2+3$

Calculation:

Consider, the given function,

  $y=x^3-x^2+3$

Graph the function by graphing calculator,

As per the graph the maxima exist at $x=0,y=3$

The minima exist at $x=0.67,y=2.85$

Hence, the maxima and minima are $\max ;\left(0,3\right),\min ;\left(0.67,2.85\right)$ .