Wednesday, January 11, 2012

5. why techniqueExplain why the graphing technique to test for continuity on an interval may be less suitable.?

Given only the defining sentence of a function y= f(x) such as f(x) = (8x^3 - 9x + 5)/ x^2 + 300x, explain why the graphing technique to test for continuity on an interval may be less suitable.
For

f(x) = (8x^3 - 9x + 5) 5. why technique/ (x^2 + 300x):

graphically speaking, the vertical asymptote at x = 0 (an obvious point of discontinuity from an algebraic point of view) is, well, very sudden. When x > .02, f(x) < 1 for x close enough to 0. 5. why techniqueIn that last .02, the function goes to infinity. This may be undetectable via a graphing technique (i.e. f(1), f(2), f(3) and connect the dots)

Hope this helps.

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