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WorldlyGlass49
The phrase that best describes the role of hyperbole in a written work is C) to exaggerate.
If you say - I have been waiting for you for a hundred years, when you are waiting for someone for a half an hour, that would be a hyperbole. 
MrsTate

c. to exaggerate

Hyperbole is used to exaggerate a thought or idea. It often makes the tone humorous or overly dramatic. It's important to be careful when using hyperbole in writing because it can also make the speaker seem unreliable since a hyperbole is not a complete truth. A few examples of everyday hyperboles are: My homework is going to take forever. I'm so hungry, I could eat a cow. I'm so embarrassed, I could die.