152k views
0 votes
What is the domain and range of the function f(x)=3^x+5

2 Answers

4 votes

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.


User David Khourshid
by
5.0k points
5 votes

Answer:

The domain is
-\infty \:<x<\infty

and range is (5,∞)

Explanation:

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

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


-\infty \:<x<\infty

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


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


f\left(x\right)>5 or (5,∞)

User Jurgen Hannaert
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.