Mathematics - Calculus functions
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For function ...(Please see attached file)
a) identify zeroes of function
b) what(if any) are vertical and horizontal asymptotes, in equation form
c)first derivative: f'(x)=
second derivative f"(x)=
d) intervals where function is increasing and decreasing
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f(x) = (6x^2 + 5x - 4)/(2x^2 - 7x - 4) = (3x + 4)(2x - 1)/(2x + 1)(x - 4)
(a) f(x) = 0
(3x + 4)(2x - 1)/(2x + 1)(x - 4) = 0
(3x + 4)(2x - 1) = 0
x = {-4/3, 1/2} are the zeroes
(b) (2x + 1)(x - 4) = 0
x = {-1/2, 4}
The function has vertical asymptotes x = -1/2 ...
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