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smc

algebra intermediate

Problem

The graph of the function

f (x) = 2 x^{3} - 7

goes:

(A)

u pt o t h er i g h t an dd o w n t o t h e l e f t

(B)

d o w n t o t h er i g h t an d u pt o t h e l e f t

(C)

u pt o t h er i g h t an d u pt o t h e l e f t

(D)

d o w n t o t h er i g h t an dd o w n t o t h e l e f t

Solution

What the question is basically asking, is the limit as the function goes to each end of infinity:

lim_{x \to \infty} f (x) = \infty

lim_{x \to - \infty} f (x) = - \infty

. This means it goes up and the right, and down and to the left.

up to the right and down to the left

Final answer

A