Which one uses hyperbole to replace the underlined words. they longed to see its mountains, big and tall

Hyperbole is exaggeration.  For example, I am as hungry as a bear!  I can read a mile a minute.  Since you don't have any words underlined here, I am not sure what you are referring to, but the exaggeration is what you are looking for in your answer.  Looks like maybe the question was posted before you had time to finish typing. :)

so tall that they pierce clouds and touch the moon

Explanation:

. a function is a relation in which each input has only one output. in the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.