Question

question
the function $f(x)$ is graphed below. what is true about the graph on the interval from point $a$ to point $b$
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
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Explanation:

Step1: Analyze y - value sign

On the interval from \(a\) to \(b\), the graph is above the \(x\) - axis. So, the \(y\) - values (which are \(f(x)\)) are positive.

Step2: Analyze function's trend

As \(x\) increases from \(a\) to \(b\), the \(y\) - value of the function \(f(x)\) is increasing (the graph is rising from \(a\) to \(b\)).

Answer:

It is positive and increasing