Question

Please explain the similarities and differences between the graphs of a radical function and a logarithmic function

Answer 1

Well, start explaining. What say you?

Answer 2

Radical functions have no asymptote, Logarithmic functions have a vertical asymptote. Radical functions have an endpoint, Logarithmic functions have no endpoint.

Answer 3

all I got so far.

Answer 4

That's pretty good. How about Domain issues? What values can go in?

Answer 5

I have no clue lol

Answer 6

Can you use negative values in a logarithm function?
Can you ALWAYS use negative values in a radical function?

Answer 7

The domain in a logarithmic function has to be greater than zero. I don't know about the radical function though.

Answer 8

Well, there you go. Another difference.

\(f(x) = \sqrt{x}\) takes no negative values.
\(f(x) = \sqrt[3]{x}\) takes negative values just fine.

Sometimes yes. Sometimes no.

Answer 9

well I don't really understand that well but I will give you a medal though.

Answer 10

Feel free to think on it. It is a worthy exercise.

Answer 11

ok thanks