Answer:
D= R
R =(6,∞)
A: y=6
Step-by-step explanation:
We are asked to Find the domain (D ) range(R) and Asymptote (A) of the graph [tex]f(x)=5^x+6[/tex]
Our function [tex]f(x)=5^x+6[/tex] is an translated function of
[tex]f(x)=5^x[/tex] which is an exponential function. Therefore the basic properties remains the same.
Any exponential function is defined for all values of x and Hence
c
however, The range of exponential functions is always positive from 0 to infinity . however here we have 6 added to out parent exponential function and hence the Range of exponential function is always be
Range = (6,∞)
Asymptote : Asymptote of our parent exponential function is y = 0, but in our function [tex]f(x)=5^x+6[/tex] , the asymptote will be y=6
