Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Complex number inputs:

Evaluate efficiently at high precision:

Compute worst-case guaranteed intervals using Interval and CenteredInterval objects:

Or compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix ScorerHi function using MatrixFunction:

Simple exact values are generated automatically:

Limiting values at infinity:

Find a value of x for which ScorerHi[x]=4:

Plot the ScorerHi function:

Plot the real part of :

Plot the imaginary part of :

Real domain of ScorerHi:

Complex domain:

Approximate function range of ScorerHi:

ScorerHi threads elementwise over lists:

ScorerHi is an analytic function of x:

ScorerHi is nondecreasing:

ScorerHi is injective:

ScorerHi is not surjective:

ScorerHi is non-negative:

ScorerHi does not have either singularity or discontinuity:

ScorerHi is convex:

TraditionalForm typesetting:

First derivative with respect to z:

Higher derivatives with respect to z:

Plot the higher derivatives with respect to z:

Formula for the derivative with respect to z:

Indefinite integral of ScorerHi:

More integrals:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Taylor expansion at a generic point:

FunctionExpand tries to simplify the argument of ScorerHi:

Functional identity:

ScorerHi can be represented as a DifferentialRoot: