Use graphing technology and the method in example 5 to find

Question

1. Use graphing technology and the method in Example 5 to find the x-coordinates of the critical points, accurate to two decimal places. Find all relative and absolute maxima and minima. (Order your answers from smallest to largest x. Round your answers to two decimal places.)

y = 7x² - 70(x - 1)^2/3 with domain (-4, 4).

2. Find the exact location of all the relative and absolute extrema of the function.

g(t) = e^t - t with domain [-1, 1].

3. Find the exact location of all the relative and absolute extrema of the function. (Order your answers from smallest to largest x.)

h(x) = 3(x - 1)^2/3 with domain [0, 2].