a.) y =x3+2x2 -5x +2
b.) y=(x2+3x - 5)/(x-4)
for a.), I know that the range is all real numbers because I know the shape the graph will take, however, is their an algebraic way to find the range of a cubic function like this one?
The method I know is to make x the subject of the formula. When I try to do this, I get:
y =x3+2x2 -5x +2
My understanding is that because the powers of x are different, it is not possible to make x the subject of the formula. Is there an algebraic way of determining the range?
b.) y=(x2+3x - 5)/(x-4)
for this one I get the same problem as well.
y(x-4) = x2+3x - 5
I again have different powers of x so it doesn't seem possible to find the range using this method. Is there an algebraic way of determining the range?
b.) y=(x2+3x - 5)/(x-4)
for a.), I know that the range is all real numbers because I know the shape the graph will take, however, is their an algebraic way to find the range of a cubic function like this one?
The method I know is to make x the subject of the formula. When I try to do this, I get:
y =x3+2x2 -5x +2
My understanding is that because the powers of x are different, it is not possible to make x the subject of the formula. Is there an algebraic way of determining the range?
b.) y=(x2+3x - 5)/(x-4)
for this one I get the same problem as well.
y(x-4) = x2+3x - 5
I again have different powers of x so it doesn't seem possible to find the range using this method. Is there an algebraic way of determining the range?