find the vertical and horizontal asymptotes of f and the graph of f that includes the asymptotes…

find the vertical and horizontal asymptotes of f and the graph of f that includes the asymptotes. f(x)=7x/(x² - 16) choose the correct asymptotes. a. x = 7, x = -7, y = 0 b. x = 4, x = -4, y = 0 c. x = 4, x = -4 d. x = 7, x = -7 choose the correct graph. a. b. c. d. -10, 10, -10, 10 xscl = 2 yscl = 2

find the vertical and horizontal asymptotes of f and the graph of f that includes the asymptotes. f(x)=7x/(x² - 16) choose the correct asymptotes. a. x = 7, x = -7, y = 0 b. x = 4, x = -4, y = 0 c. x = 4, x = -4 d. x = 7, x = -7 choose the correct graph. a. b. c. d. -10, 10, -10, 10 xscl = 2 yscl = 2

Answer

Explanation:

Step1: Find vertical asymptotes

Set denominator equal to 0. So, $x^{2}-16 = 0$. Factoring gives $(x - 4)(x + 4)=0$. Solving for $x$: $x=4$ and $x = - 4$.

Step2: Find horizontal asymptote

Degree of numerator is 1 and degree of denominator is 2. When degree of denominator > degree of numerator, the horizontal - asymptote is $y = 0$.

Answer:

B. $x = 4,x=-4,y = 0$