A partial set of values for the function of g(x) is given: X. -2 -1 0 1 2
g(x). -4.75 -4.5 -4 -3 -1
Determine the average rate of change from x = - 1 to x = 2.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

is there any answers choices? l can try to you if there is answer choices to this question,so sorry