Which of the following describes a maximum turning point?
A point where the tangent crosses the curve and the concavity changes from upwards to downwards or from downwards to upwards around the point.
A point where the tangent is horizontal and the concavity changes from upwards to downwards or from downwards to upwards around the point.
A point where the curve changes from decreasing to increasing.
A point where the curve changes from increasing to decreasing.
Which of the following describes a minimum turning point?
Consider the function $f\left(x\right)=-2\left(x+2\right)^2+4$f(x)=−2(x+2)2+4 drawn below.
Consider the function $f\left(x\right)=-\left(x-4\right)^3+7$f(x)=−(x−4)3+7 drawn below.