Graph the function hx 2x2 3x 14x2 9 Vertical A Nonvertic

Graph the function h(x) = 2x^2 - 3x - 14/x^2 - 9 Vertical A: Nonvertical A: x-int: y-int:

Solution

f(x)=(2x^2 -3x-14)/(x^2-9)

vertical asymptote

x^2-9=0

x=3,-3

Horizontal asymptote

degreese are same in numerator and denominator

Therefore HA, y=2/1

x intercept

f(x)=0

2x^2 -3x-14=0

(x+2)(2x-7)=0

x=-2 , x=7/2

y intercept=x=0

f(x)=14/9

 Graph the function h(x) = 2x^2 - 3x - 14/x^2 - 9 Vertical A: Nonvertical A: x-int: y-int: Solutionf(x)=(2x^2 -3x-14)/(x^2-9) vertical asymptote x^2-9=0 x=3,-3

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