Question

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

answer

• it is positive and increasing
• it is positive and decreasing
• it is negative and increasing
• it is negative and decreasing

Explanation:

1. First, check the sign of the function between points $a$ and $b$: the graph lies above the $x$-axis, so $f(x)$ is positive here.
2. Next, check the trend: as $x$ moves from $a$ to $b$ (rightward along the $x$-axis), the $y$-values of the graph increase, meaning the function is increasing.

Answer:

It is positive and increasing