Question

Find the range for this function on the calculator:
x^4 - 3x^3 - 1

Answer 1

but i can use my calculator O:

Answer 2

@agent0smith

Answer 3

@RadEn

Answer 4

You could find f'(x), find where it's zero to find the minimum(s) (which means f'' at those points must be positive).

Once you have those x points, plug them into f(x)=x^4 - 3x^3 - 1 to find the minimum possible y value.

Answer 5

On a calculator just plot it and find the turning points.

Answer 6

ok when i got f'x and found its zeros i got 9/4 and 0 so when i plugged those x values into the original equations i got -1 and -9.54

Answer 7

@agent0smith

Answer 8

Well then you should have no trouble finding the range from that... what was the lowest y-value you got? y=-9.54? And it's an x^4 graph, which means the range will be y>=-9.54