Question

Use the following function \[g(x)=x^3-(-3x^2)-9x-7\]
On what intervals is the function decreasing?

Answer 1

To know what intervals the function is decreasing, we need to know g'(x).\[g'(x)=3x^2+6x-9\]

Answer 2

Solve the zeros for g'(x) so you can see the signs of the function by and around those points.\[3x^2+6x-9=0\]\[3(x^2+2x-3)=0\]\[(x+3)(x-1)\]
Zeros are x = -3, 1

Answer 3

g'(-4) is +, while g'(-2) is -

g'(0) is -, while g(2) is +

Answer 4

The function is decreasing from (-3,1)

Answer 5

Graph of the function confirms

Answer 6

Wow, impressive student.

Answer 7

Word

Answer 8

means?

Answer 9

word is "cool, alright"