Question

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

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 (positive/negative)

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

Step2: Analyze the trend (increasing/decreasing)

As we move from point \( c \) to point \( d \) (i.e., as \( x \) increases from the \( x \) - value of \( c \) to the \( x \) - value of \( d \)), the \( y \) - value of the function is increasing (the graph is rising from \( c \) to \( d \)).

Answer:

It is positive and increasing