Question

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

Answer 1

Answer:

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

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)