Question

Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range

Answer 1

Answer:

See explanation for end behavior below

Domain = All Real numbers

Range = All Real numbers

Step-by-step explanation:

This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:

As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.

The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.

The same is true for the Range, since the y-values spread over all the real number line.