For a quadratic function, The AROCs over consecutive equal-length input-value intervals can be given by a linear function.
he graph of a function is concave up on intervals in which the rate of change is increasing.
A function is decreasing over an interval of its domain: If, as the input values increase, the output values always decrease. That is: For all a,b within an interval, If a<b, then fa>f(b).
The AROC over [a,b] is the slope of the secant line from (a , ((a)) to (b , f(b)) .
the multiplicitiy of a zero c of a polynomial f(x) of degree n > 0 is the number of time the factor ( x - c ) occurs in the linear factorization
For linear functions, the AROCs are changing at a rate of zero, since they are constant.
For quadratic functions, the AROCs are changing at a constant rate, since they are linear.
The variable representing the output values.
A mathematical relation that maps a set of input values (domain) to a set of output values (range).
The graph of a function is concave down on intervals in which the rate of change is decreasing.
Where a polynomial function switches from increasing to decreasing OR at the included endpoint of a polynomial with a restricted domain.
Where a polynomial function switches from decreasing to increasing OR at the included endpoint of a polynomial with a restricted domain.
A function is increasing over an interval of its domain: If, as the input values increase, the output values always increase. That is: For all a,b within an interval, If a<b, then fa<f(b).
Where is my puzzle?