Given the function:
[tex]F(x)=4^x+3[/tex]
Let's find the domain and range of the exponential function.
• Domain:
The domain of a function is the set of all possible values of x which makes the function defined.
Since no value of x can make the function undefined, the domain of the function is all real numbers.
Therefore, the domain of the function is all real numbers.
• Range:
The range of a function is the set of all y values.
It is also called the output.
To find the range of the exponential function, we have:
[tex]f(x)>k[/tex]
Where:
k = 3
Therefore, the range is:
f(x) > 3
The range of the function are all real numbers greater than 3.
• ANSWER:
D. Domain: All real numbers
Range: All real numbers greater than 3.
