Question

the function ( f(x) ) is graphed below. what is true about the graph on the interval from ( x = c ) to ( x = infty )?
answer
it is positive and increasing
it is positive and decreasing
it is negative and increasing
it is negative and decreasing

Explanation:

Step1: Analyze the sign of the function

For \(x\in(c,\infty)\), the graph of \(y = f(x)\) is below the \(x -\)axis. So \(f(x)<0\) for \(x\in(c,\infty)\), which means the function is negative on the interval \((c,\infty)\).

Step2: Analyze the trend of the function

As \(x\) increases (moving from left - to - right) on the interval \((c,\infty)\), the \(y\) - values of the function \(y = f(x)\) get smaller. If \(x_1

Answer:

It is negative and decreasing