Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Transcribed Image Text:3x+2
The function f is defined by f(x) =
for xe R, xp, xq.
4x2-1
(a) Find the value of p and the value of q.
(b) Find an expression for f'(x).
The graph of y = f(x) has exactly one point of inflexion.
(c)
Find the x-coordinate of the point of inflexion.
(d) Sketch the graph of y = f(x) for -3≤x≤3, showing the values of any axes intercepts,
the coordinates of any local maxima and local minima, and giving the equations of
any asymptotes.
Transcribed Image Text:4x2-1
2
The function g is defined by g(x):
9
for xeR, x
3x+2
3
(e)
Find the equations of all the asymptotes on the graph of y = g(x).
(f)
By considering the graph of y = g(x) - f (x), or otherwise, solve f(x) <g(x) for x = R.
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