Question

What is the domain and range of g(x) 10*+4? Domain: Range:

Answer 1

Domain: All real numbers

Range: y > 4

Explanation:

The function
`10^x + 4` is an exponential function. When graphed it will have a horizontal asymptote that the function does not cross. This limits the range of the function. There are no limits on the domain. This means the domain is all real numbers.

On the parent function 10^x, the asymptote is at y = 0. Since this function has benn shifted up 4 by adding 4 to it outside the function, the asymptote moves up 4 from y = 0 to y = 4. This means the range of the function is above 4 or y > 4.