Question

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

a. it is positive and increasing
b. it is positive and decreasing
c. it is negative and increasing
d. it is negative and decreasing

Explanation:

Step1: Determine the sign of the function

On the interval from \(c\) to \(d\), the graph of \(y = f(x)\) lies below the \(x -\)axis. When \(y=f(x)<0\) for all \(x\) in an interval, the function is negative on that interval.

Step2: Determine if the function is increasing or decreasing

A function \(y = f(x)\) is increasing on an interval if, as \(x\) increases, \(y\) also increases. A function \(y = f(x)\) is decreasing on an interval if, as \(x\) increases, \(y\) decreases.
Looking at the interval from \(c\) to \(d\), as \(x\) increases (moves from left - to - right), the \(y\) - values of the function \(y = f(x)\) are increasing.

Answer:

C. It is negative and increasing