Question

What are the domain and range of the function f(x) = 3^x + 5

Answer 1

Answer:

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

The domain of the function is the possible set of values at which the function is defined.

and the range of the function is the corresponding function values at the points of the domain.

e are given a function f(x) as:

$f(x)=3^x+5$

Clearly the function $3^x$ is defined for all the real values.

Hence, the function:

$f(x)=3^x+5$ is defined for all the real numbers.

Hence the domain of the function is: (-∞,∞) i.e. all of the real line.

Also we know that:

$3^x>0$ for all x.

Hence,

$3^x+5>5$ for all x.

Hence, the range of the function is:

(5,∞).

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Answer 2

The range is y values and domain is x values 

y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5 

And the domain would be all real numbers.