Question

What are the domain and range of the exponential function below F(x)=3^x+2?

Answer 1

I think the 3 is x
is 2 the y?
hope helped

Answer 2

Answer:

Domain: $(-\infty,\infty)$.

Range: $(2,\infty)$.

Step-by-step explanation:

We have been given formula of a function $F(x)=3^x+2$. We are asked to find the domain and range of our given function.

We know that domain of a function is the values of x for which our function is defined.  

Since our given function has no undefined points or any domain restrictions, therefore, our function is defined for all real values of x, that is $(-\infty,\infty)$.

We know that range of a function is the resulting y-values, which we get after substituting all the possible x-values.

We know that range of an exponential function is in form $c\cdot n^{ax+b}+k$, when $f(x)>k$.

Upon comparing our given function with above form, we can see that $k=2$, so our given function is defined when $f(x)>k=2$.

Therefore, the range of our given function is all values of y greater than 2, that is $(2,\infty)$.