Question

Help on question on math precalculus Question states-Which interval(s) is the function decreasing?Group of answer choicesBetween 1.5 and 4.5Between -3 and -1.5Between 7 and 9Between -1.5 and 4.5

Answer 1

We have a function of which we only know the graph.

We have to find in which intervals the function is decreasing.

We know that a function is decreasing in some interval when, for any xb > xa in the interval, we have f(xa) < f(xb).

This means that when x increases, f(x) decreases.

We can see this intervals in the graph as:

We assume each division represents one unit of x. Between divisions, we can only approximate the values.

Then, we identify all the segments in the graph where f(x) has a negative slope, meaning it is decreasing.

We have the segments: [-3, -1.5), (1,5, 4.5) and (7,9].

Answer:

The right options are:

Between 1.5 and 4.5

Between -3 and -1.5

Between 7 and 9