Use your calculator to determine any extrema for y = -2x3 + 2x +3.

Step 1: Turn off the STAT PLOT; press 2nd, Y =, ENTER, right arrow, ENTER.

Step 2: Clear the functions; press Y = then, CLEAR for each function that needs deleting.

Step 3: Select values for the viewing window; press WINDOW. Use the keypad to type the values. Use up and down arrow keys to scroll through the list.

Step 4: Input the given equation; press Y =. Use the keypad to type the equation.

Step 5: Graph the function; press GRAPH.

Step 6: Go to the CALCULATE menu; press 2nd, TRACE.

Step 7: Find the maximum; press 4, left arrow to scroll to the left of the maximum point; ENTER, right arrow to scroll to the right of the maximum point, ENTER, ENTER.

Step 8: Go to the CALCULATE menu; press 2nd, TRACE.

Step 9: Find minimum; press 3, left arrow to scroll to the left of the minimum point, ENTER, right arrow to scroll to the right of the minimum point, ENTER, ENTER.

The function y = 2x3 + 2x + 3 has a relative maximum at y = 3.77 and a relative minimum at y = 2.23.