quite hard to help you without just telling you the answer. do you know what looks like?
if you are on a basic course...you could just substitute values of x (say 2,2.5,3,3.5,4) into the function and plot the values.
Hi,
The question asks us the sketch the curve of y= 3x^3-10 for x E [2,4].
i've tried the usual way of finding interepts. For the y intercept i get the point (0,-10). The x intercept gives me x^3=10/3 which doesn't seem to help me for sketching purposes.
I then tried to find max and mins but when i let dy/dx = I keep getting the same coordinates as for the y intercept. Also tried getting point of inflection but get the same point again. Should I just sub in values for x and get their corresponding y values?
quite hard to help you without just telling you the answer. do you know what looks like?
if you are on a basic course...you could just substitute values of x (say 2,2.5,3,3.5,4) into the function and plot the values.
Because your question is interested in the particular interval [2,4] , your critical points are x = 2, x=4 and value of x where the d/dy equals 0. The only place d/dy equals zero is at the point x=0, whcih is not in your interval.