The curve is increasing for \(x>1\) |
Has a local minimum with \(y\)-coordinate \(1\) |
Has a point of inflection when \(x=0\) | |
---|---|---|---|
Has a stationary point at \((1,1)\) | \[y=x^3+3x^2-9x+6\] | \[y=(x-1)^2+1\] | \[y=3x^4-4x^3+2\] |
Has a local maximum when \(x=-3\) | \[y=x^3+3x^2-9x+6\] | \[y=2x^3+9x^2+1\] | \[y=1-\dfrac{1}{4}x^4-x^3\] |
Has an odd number of stationary points | \[y=7(x-1)^2+1\] | \[y=(x+4)^2+1\] | \[y=x^5-x^3+5\] |