Question

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

graph of a function with points a, b, c, d, e, f, g

answer

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

Explanation:

Step1: Analyze y - value sign

On the interval from \( c \) to \( d \), the graph is below the \( x \) - axis (since \( y=f(x)<0 \) for points on this interval), so the function is negative here.

Step2: Analyze the trend (increasing/decreasing)

As we move from point \( c \) to point \( d \) (from left to right along the \( x \) - axis), the \( y \) - value of the function is increasing (the graph is rising towards \( d \)). So the function is increasing on the interval from \( c \) to \( d \).

Answer:

It is negative and increasing