Question

question
the function $f(x)$ is graphed below. what is true about the graph on the interval from point $d$ to point $e$
answer
\\(\circ\\) it is positive and increasing
\\(\circ\\) it is positive and decreasing
\\(\circ\\) it is negative and increasing
\\(\circ\\) it is negative and decreasing

Explanation:

Step1: Analyze y - value sign

On the interval from \(d\) to \(e\), the graph of \(f(x)\) is below the \(x\) - axis (since \(d\) is a minimum below \(x\) - axis and \(e\) is on \(x\) - axis). So \(f(x)\) is negative in this interval.

Step2: Analyze increasing/decreasing

As we move from \(d\) to \(e\) (from left to right), the \(y\) - value of the function is increasing (the graph is rising from \(d\) to \(e\)). So the function is increasing on the interval from \(d\) to \(e\).

Answer:

It is negative and increasing