Identify the equation of the linear function through the points (-1,3) and (2, -3). Than state that the rate of change of the function.

y = -2x+1

rate of change -2

Step-by-step explanation:

The rate of change of a linear function is the slope

m = (y2-y1)/(x2-x1)

   = (-3-3)/(2--1)

   = (-3-3)/(2+1)

    =-6/3

    =-2

We can use point slope form

y-y1 = m(x-x1)

y-3 = -2(x--1)

y-3 = -2(x+1)

Distribute

y-3 = -2x -2

Add 3 to each side

y-3 +3 = -2x-2+3

y = -2x+1

y = -2x + 1

Rate of change is the slope,

Which is -2

Step-by-step explanation:

Slope: (-3-3)/(2--1) = -6/3 = -2

y = -2x + c

3 = -2(-1) + c

c = 1

y = -2x + 1

Rate of change is the slope,

Which is -2

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.