On which interval is the following function increasing?
f(x) = 3x2 + 24x + 14

Question

On which interval is the following function increasing?
f(x) = 3x2 + 24x + 14

inkyvoyd · Answer

Write it into vertex form first.

anonymous · Answer

f'(x) =6x +24
Function will increase where it's derivative is positive
so solve 6x +24>0
6x>-24
x>-4

experimentx · Answer

a parabola??

anonymous · Answer

yes, any function :)

inkyvoyd · Answer

It's a quadratic function; don't confuse him with calculus 0.o

anonymous · Answer

increase means for  positive increment of x there is positive increment of y dudes

experimentx · Answer

to add up @myko, dy/dx will be your slope
slope = 0, means means straing
slope >0 mens increasing
and slope <0 means decreasing
and using this you will find interval.
  x=-4 ,,, you will have slope zero, x<-4 you will have negative slope.