Question

Consider the graph of the polynomial function p(x)=(x-1)(x-2)(x+5)

is the graph increasing or decreasing to the left?
is the graph increasing or decreasing to the right?

please help me!.

Answer 1

It's decreasing to the left and increasing to the right

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

`p(x)=(x-1)(x-2)(x+5)\\\\p(x)=x^3+2x^2-13x+10`

So, we can see that

The graph is first increasing and then decreasing to the right.

And it is cubic polynomial.

the graph reaches its maximum at (-2.8,40.14) and then its minimum at (1.5,-1.6)

Hence, Second option is correct.