Question

the function ( f(x) ) is graphed below. what is true about the graph on the interval from ( x = c ) to ( x=infty )?

Explanation:

Step1: Analyze the sign of the function

For the interval \(x = c\) to \(x=\infty\), the graph of the function \(y = f(x)\) lies above the \(x -\)axis. So, \(f(x)>0\) (positive).

Step2: Analyze the trend of the function

As \(x\) increases from \(c\) to \(\infty\), the \(y -\)values (function values) of the graph are getting larger. So, the function is increasing.

Since the function is positive ( \(y>0\)) and increasing ( \(y\) - values rise as \(x\) increases) in the interval \(x = c\) to \(x=\infty\), the statement “It is positive and increasing” is correct.

Answer:

It is positive and increasing