Question

Which statement is true about the graph of function f? f(x)= ^log 2^x (picture of function below)

Answer 1

A. The graph has an asymptote of x = 0 and is negative over the interval of (0, 1)

Step-by-step explanation:

Given:

`f(x)=\log_2x`

Note that logarithmic functions have vertical asymptote as seen below;

`f(x)=\log_ba\text{ has a vertical asymptote at }a=0`

If we compare both functions, we can see that the given function has a vertical asymptote at x = 0.

See below the graph of the function;

We can see that the graph of the function is negative over the interval (0, 1)