Draw the graph of a rational function that is increasing for x < –4 and decreasing for x > –4

Answer 1

The rational function is increasing for and decreasing for .

For , the rational function is increasing.

For , the rational function is decreasing.

Consider .

Graph:

Graph the rational function :

.

Comments

Do you have to make a chart of all the points to make the graph?

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No, we need not make a chart of all the points to graph the function.

We consider a function satisfying the conditions and then graph the function using graphing calculator.