Question

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

answer

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

Explanation:

1. First, analyze the y - values (sign) of the function on the interval from \(b\) to \(c\): Point \(b\) and \(c\) are below the \(x\) - axis (since the graph is below the \(x\) - axis in that region), so the function values are negative on this interval.
2. Then, analyze the trend (increasing or decreasing) of the function on the interval from \(b\) to \(c\): As we move from \(b\) to \(c\) (from left to right along the \(x\) - axis), the \(y\) - values of the function are increasing (the graph is going up from \(b\) to \(c\)).

Answer:

It is negative and increasing