Question

Find the domain (d) range(r) and asymptote (a) of the graph f(x)=5^x+6

Answer 1

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 $f(x)=5^x+6$

Our function $f(x)=5^x+6$ is an translated function of

$f(x)=5^x$ 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 $f(x)=5^x+6$ , the asymptote will be y=6