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1) Find the domain and range of the rational function
v(x) = x^{2} - 25/ 2x^{2} + 13x + 15

A) Factor the numerator and denominator.

B) Determine the point of discontinuity if it exists

C) Determine the vertical asymptote.

D) Determine the horizontal asymptote.

E) Graph the function.

1) Fill in the table of values to find three or four points to plot for each
curve. Use a graphing calculator

Include the point of discontinuity:


Sagot :

Answer:

Factor the numerator and denominator

25    2

Determine the point of discontinuity if it exists.

x = -5

Determine the vertical asymptote.

x = - 3/2

Determine the horizontal asymptote.

y = 1/2

E) Graph the function

x  −8  −3   −2  −1  0   2  5  10

v x( )  11  11  9   7 5  1   5 15


Include the point of discontinuity

11