Question

Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5 comma negative 1 close. Identify and correct Lonzell’s error.

Answer 1

The positive graph is on the points (-5,-4) and (2,5)

And, negative would be (-4,2)

Explanation:

As it seems that fgraph shows positive in the case when it is over x-axis, and negative when it is below y-axis

As on the interval (-1,5)

The graph is below x-axis i.e. on (-1,2)

And, over x-axis i.e. on (2,5)

At this point Lonzell’s is not correct

As on the interval (-5,-1)

The graph is below x-axis i.e. on (-4,-1)

And, over x-axis i.e. on (-5,4)

At this point Lonzell’s is not correct

So,

The positive graph is on the points (-5,-4) and (2,5)

And, negative would be (-4,2)