which best describes the asymptote of an exponential function of the form ( f(x)=b^{x} )?\nchoice\na…

which best describes the asymptote of an exponential function of the form ( f(x)=b^{x} )?\nchoice\na vertical asymptote at ( x = 1 )\nb horizontal asymptote at ( y = 0 )\nc vertical asymptote at ( x = 0 )\nd horizontal asymptote at ( y = 1 )

which best describes the asymptote of an exponential function of the form ( f(x)=b^{x} )?\nchoice\na vertical asymptote at ( x = 1 )\nb horizontal asymptote at ( y = 0 )\nc vertical asymptote at ( x = 0 )\nd horizontal asymptote at ( y = 1 )

Answer

Brief Explanations:

Las funciones exponenciales de la forma (F(x)=b^{x}) (donde (b>0) y (b\neq1)) no tienen asintotas verticales. Cuando (x\to-\infty), si (b > 1), (b^{x}\to0); si (0 < b<1), (b^{x}=\left(\frac{1}{b}\right)^{-x}) y cuando (x\to-\infty), (\left(\frac{1}{b}\right)^{-x}\to0). Entonces, la función (y = b^{x}) se acerca a la línea (y = 0) a medida que (x) se hace muy pequeño (tiende a (-\infty)). Esto significa que (y = 0) es una asintota horizontal.

Answer:

B. Horizontal asymptote at (y = 0)