Respuesta :

Answer:

Domain = (-∞,∞)

Range = (5,∞)

This is an exponential function so the y-intercept is always going to be one of your value in the range since it's planted on the y-axis.


Answer:

The domain is [tex]-\infty \:<x<\infty[/tex]

and range is (5,∞)

Step-by-step explanation:

we need to find domain and range of function [tex]f(x)=3^x+5[/tex]

The domain of a function is the set of input or argument values for which the function is  real and defined

The function has no undefined points nor domain constraints. Therefore, the domain is

[tex]-\infty \:<x<\infty[/tex]

Range is the set of values of the dependent variable for which a function is defined

The range of an exponential function of the form

[tex]\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]f\left(x\right)>5[/tex] or (5,∞)