Respuesta :
g(x) = x³-x²-4x+4
To graph the function ⇒ substitute with the values of x and get g(x)
but at first we need to find the critical points ( maximum, minimum,Inflection )
which can be found by differentiating g(x) with respect to x
g'(x) = 3x² -2x-4 = 0 ⇒⇒⇒ x = 1.535 and -0.869 ⇒⇒ max.and min. points
g(1.535) = -0.879 ⇒⇒⇒ minimum point
g(-0.869) = 6.065 ⇒⇒⇒ maximum point
g"(x) = 6x -2 = 0 ⇒⇒⇒ x = 1/3 ⇒⇒⇒ point of Inflection
g(1/3) = 2.593
The table and the graph of the function is attached below.
To graph the function ⇒ substitute with the values of x and get g(x)
but at first we need to find the critical points ( maximum, minimum,Inflection )
which can be found by differentiating g(x) with respect to x
g'(x) = 3x² -2x-4 = 0 ⇒⇒⇒ x = 1.535 and -0.869 ⇒⇒ max.and min. points
g(1.535) = -0.879 ⇒⇒⇒ minimum point
g(-0.869) = 6.065 ⇒⇒⇒ maximum point
g"(x) = 6x -2 = 0 ⇒⇒⇒ x = 1/3 ⇒⇒⇒ point of Inflection
g(1/3) = 2.593
The table and the graph of the function is attached below.
![Ver imagen Matheng](https://us-static.z-dn.net/files/d07/c670379ba0b957957d03de6481af496d.jpg)
Answer:
x=13
Step-by-step explanation:
you need to add common factors and divide