For the function f(x) = 2(x + 3)2 + 2 the graph is decreasing in the interval x(-oo,-3). Function, in mathematics, defines as the relationship between the independent variable and the dependent variable
What is a function?
Function, in mathematics, defines as the relationship between the independent variable and the dependent variable. It means that when the independent variable is changed the dependent variable also changed.
y=2(x+3)^2+2
y=2(x^2+6x+9)+2
y=2x^2+12x+20
dy/dx=4x+12
The graph is decreasing when dy/dx, which is velocity, is less than zero so:
dy/dx<0 when:
4x+12<0
4x<-12
x<-3
So the graph is decreasing from x=(-oo, -3)
To know more about function follow
https://brainly.com/question/4025726
