To find the relative maximum, relative minimum, and zeros of the function y=5x^3+x^2-9x+4, you can follow these steps using a graphing calculator:
1. Tnput the function into the graphing calculator: y1 = 5x^3 + x^2 - 9x + 4.
2. Graph the function to visualize the curve.
3. To find the relative minimum and maximum, look for points where the slope of the line changes from increasing to decreasing or vice versa.
4. To find the zeros of the function, look for points where the curve intersects the x-axis. These are the x-coordinates of the zeros of the function.
5. Use the calculator to identify and record the x-coordinates of the relative maximum, relative minimum, and zeros of the function.
These steps will help you use the graphing calculator to find the relative maximum, relative minimum, and zeros of the function y=5x^3+x^2-9x+4.
