Given:
Polynomial is .
Term is added in the given polynomial.
To find:
The end behavior of new polynomial.
Solution:
Let, .
New polynomial is
Highest power of x is 6 which is even and leading coefficient is negative. So,
Both ends of the graph will approach negative infinity.
Therefore, the correct option is A.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
