Analyze the end behavior of each function below. then, choose one of the functions, and explain how you determined
the end behavior.
a. f(x) = x4
b. g(x) = −x4
c. h(x) = x3
d. k(x) = −x3

End behavior of a polynomial function depended on the degree and its leading coefficient.

1. If degree is even and leading coefficient is positive then

2. If degree is even and leading coefficient is negative then

3. If degree is odd and leading coefficient is positive then

4. If degree is odd and leading coefficient is negative then

(a)

Here, degree is even and leading coefficient is positive.

(b)

Here, degree is even and leading coefficient is negative.

(c)

Here, degree is odd and leading coefficient is positive.

(d)

Here, degree is odd and leading coefficient is negative.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.