A function is a rule that assigns exactly one output to a given input. The input is taken from a set called the domain, and the corresponding output belongs to a set called the range.
1. In this exercise, we're calling the pool of patients 1-8 the domain, and the pool of nurses A-D the range. The given table describes a function because any patient is assigned to only one nurse.
2. This wouldn't be a function if at least one patient was assigned to more than one nurse. If this were to happen in practice, the patient could be, say, given the same dose of some medicine twice if the nurses aren't careful.
3. Making the nurse pool the domain and the patient pool the range would give a relation that is not a function, since more than one patient is assigned to one nurse.
Answer:
b=2/3
Step-by-step explanation:
The table is given as:

The exponential function is given in the form

where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:

When x=3, y=4, we have:

Dividing the two equations:

The multiplicative rate of change, b is 2/3.
Answer:
A, B, D
Step-by-step explanation:
Use the LCM to help...
Answer:
Ben is 19 Ishaan is 7
Step-by-step explanation:
Answer:
3x³ - 12x + 4
Step-by-step explanation:
The opposite of a polynomial P is -P.
You find the opposite of P by multiplying it by -1.
P = -3x³ + 12x - 4
-P = (-1)( -3x³ + 12x - 4) Distribute -1 to each term
= (-1)(-3x³) + (-1)(12x) - (-1)(4) Multiply each coefficient by -1
= 3x³ + (-12)x - (-4)
= 3x³ - 12x + 4