Change the quadratic equation in Exercise 8.1 to Again, plot the equation and find the value of X where the tangent to the curve has slope zero. Is this point a maximum or minimum? What characteristic...

Again, plot the equation and find the value of X where the tangent to the curve has slope zero. Is this point a maximum or minimum? What characteristic in the quadratic equation determines whether the critical point is a maximum or a minimum?

Exercise 8.1

The critical point (maximum or minimum) on a quadratic response curve is that point where the tangent to the curve has slope zero. Plot the equation

and find the value of X where the tangent to the curve has slope zero. Is the point on the response curve a maximum or a minimum? The derivative of Y with respect to X is d_Y/d_X
= 2.5 − 1.0X. Solve for the value of X that makes the derivative equal to zero. How does this point relate to the value of X where the tangent was zero?