ac1640
contestada

is the function f(x) =(9/10)^x an exponential function if so identify the base if not why not?

yes, base = 9

No, the exponent is not variable.

yes, base =9/10



No, the base is not a positive real number not equal to 1.

Respuesta :

frika

Answer:

Yes, base [tex]=\frac{9}{10}[/tex]

Step-by-step explanation:

An exponential function with base b is defined by [tex]f(x)=a\cdot b^x,[/tex] where [tex]a\neq 0, b > 0 , b\neq 1,[/tex] and x is any real number. The base, b, is constant and the exponent, x, is a variable.

You are given the function

[tex]f(x)=\left(\dfrac{9}{10}\right)^x[/tex]

So,

[tex]a=1,\ a\neq 0\\ \\b=\dfrac{9}{10},\ b\neq 1,\ b>0[/tex]

So, this function is exponential function with the base [tex]\frac{9}{10}[/tex]