Chapter 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 85: 16

Cube root function $(H)$

We can see from the graph that it represents the cube root function, which is expressed as: $f(x)=\sqrt [3] {x}$. The characteristics of this function are: it is odd, always increases on all real numbers, and contains a decreasing slope away from $0$. So, the matching graph is $(H)$.