Problem 16a

Given information

The cubic function is 

To find: and intercept and domain or range of the given cubic function.

Step-by-step explanation

The slope of the tangent to a curve  at any point a is given by the value of the first derivative of the slope at the point  

The tangent to be horizontal so the slope should be equal to  

That is  

The cubic function is 

......(1)

intercept at the given function

intercept at the given function

The domain of the function is the set of all the real numbers. 

The leading coefficient is positive 

So, the graph of is up on the right side and down on the left side and the graph cut the at  

points