Question

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

Answer 1

Write it into vertex form first.

Answer 2

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

Answer 3

a parabola??

Answer 4

yes, any function :)

Answer 5

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

Answer 6

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

Answer 7

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.