How do we know that the Syrophoenician woman's faith was genuine?

The Syrophoenician woman's faith can be discerned through her persistence and determination in seeking help from Jesus. Despite initial rejection and being a Gentile, she did not waver in her faith when Jesus tested her belief by referring to her as a 'dog.' Instead, she cleverly replied that even the dogs eat the crumbs from the master's table, reflecting her deep understanding and humility. This interaction illustrates that true faith does not give up easily and often grows through trials. In her persistence, we see her faith being validated by her eventual healing of her daughter, which confirms the authenticity and power of her faith in Christ.