Define f(x) = -x³ + 2x² + 4x - 3 and graph it in a [-4.7, 4.7,1] x [-6, 6,1] window.

1. Use the dy/dx feature of the Graph screen's CALCULATE menu to find f '(1.5).
2. Use the Tangent feature of the Draw menu to find the equation of the tangent line to the curve at x = 1.5. Round to 2 decimal places.
3. Clear the tangent line from Question 2 with ClrDraw. Display the graphs of the function and its first derivative, then use the graph of the derivative to determine the x-coordinates where the turning points of the function occur.
4. Use the graph of the derivative of f to determine where the function is increasing and where it is decreasing.
5. Graph the second derivative of f and use it to find the x-coordinate of the inflection point.
6. Find the intervals where the graph of the function is concave upward and where it is concave downward.

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