Apolynomial function has a root of zero with multiplicity one, and root of two with multiplicity four. if the function has a negative leading coefficient, and is of odd degree, which of the following is true. - the function is positive on (-infinity, 0) -the function is negative on (0,2) -the function is negative on (2,infinity) -the function is positive on (0, infinity)

A, B, and C

Step-by-step explanation:

root of zero (x = 0) with multiplicity of 1 (x = 0)¹ means that the graph CROSSES the axis at x = 0

root of two (x = 2) with multiplicity of 4 (x = 2)⁴ means that the graph TOUCHES the axis at x = 2

WHY?  

Leading Coefficient (end behavior of right side):

Degree of polynomial (left side behavior):

The given polynomial has a negative leading coefficent and odd degree so the left side goes to +∞ and the right side goes to -∞

OBSERVE INTERVALS:

See graph to confirm statements above

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'.