bresoslim
bresoslim bresoslim
  • 16-10-2018
  • Mathematics
contestada

What function is increasing?

A. F(x)=6^x
B. F(x)=(0.6)^x
C. F(x)=(1/60)^x
D. F(x)=(1/6)^x

What function is increasing A Fx6x B Fx06x C Fx160x D Fx16x class=

Respuesta :

gmany
gmany gmany
  • 16-10-2018

[tex]y=a^x[/tex]

The function is increasing if a > 0.

The function is decreasing if 0 < a < 1.

Therefore your answer is

[tex]A.\ f(x)=6^x[/tex]

[tex]6^x\to a=6 > 1\\(0.6)^x\to a=0.6 < 1\\\left(\dfrac{1}{60}\right)^x\to a=\dfrac{1}{60} < 1\\\\\left(\dfrac{1}{6}\right)^x\to a=\dfrac{1}{6} < 1[/tex]

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