(a) Graph y = .3x3 − 2x2 + 6 in the standard window.
(b) Use trace to move to a point whose x-coordinate is close to 1.
(c) Set the zoom factors of your calculator to 10. Zoom-in once or twice. Does the graph appear to be a straight line near the point?
(d) Repeat parts (a)—(c) at lowest point to the right of the y-axis. Is the result the same? If not, keep zooming in until it is (at each stage move the flashing cursor up or down, so it is on the graph).
(e) What do parts (a)—(d) suggest about the graph?
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