For the given graph:


• • Name the domain and range for the graph and its inverse.

  • Explain whether or not the graph represents a function.

  • If the graph is a function, determine if it is one-to-one.

  • If the graph is a function, determine if the inverse is also a function.

Given
Domain: $\left\{x|x\in R\right\}$
Range: $\left\{y|y\in R\right\}$
Inverse

Domain: $\left\{x|x\in R\right\}$
Range: $\left\{y|y\in R\right\}$


This (cube root) graph is a function because it passes the VLT. The graph also passes the HLT. This means that the given function is one-to-one, and its inverse is also a function.