"Then came she and worshiped him, saying, Lord, help me. But he answered and said, It is not meet to take the children's bread and to cast it to dogs.
And she said, Truth, Lord: yet the dogs eat of the crumbs which fall from their masters' table.
Then Jesus answered and said unto her, O woman, great is thy faith: be it unto thee even as thou wilt.
And her daughter was made whole from that very hour."
Matthew 15:25-28

If that had happen to us, most would have given up; but not this woman. 

First Jesus ignored her; then He said to His disciples, "I'm not even sent to help her." Still she continued to worship Him saying, Lord help me." She would leave Him alone.

Then Jesus told her it wasn't right to take the children's bread and give it to dogs. He called her a dog!

Most of us would have gone home angry; but she said, "Truth Lord, yet the dogs eat of the crumbs which fall from their masters' table.
She was saying, Lord I don't need the whole loaf, give me a crumb. I know what your bread will do.

She talking about how powerful Jesus was. He could call her any thing, but heal my daughter!

Jesus said, "With faith like that, you can have anything you want."
He took her to the limit and she past. He knew her faith would turn His power loose.

Her daughter was healed then!