Question
f(x) = 1 + 2x 3x^3 + x^5. (b) Enable all three graphs and change the coefficient of x by dragging the a 1 slider.
f(x) = 1 + 2x 3x^3 + x^5.
(b) Enable all three graphs and change the coefficient of x by dragging the a1 slider. What effect does this have on the graphs of f, f' and f''?When a1 increases, the graph of f'' is _________ (translated upward translated downward translated to the left translated to the right skewed not changed) , the graph of f' is __________ (translated upward translated downward translated to the left translated to the right skewed not changed) , and the graph of f is ___________ (translated upward translated downward translated to the left translated to the right skewed not changed).
Can you give reasons for what you observe in the graph of f'?
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