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Difference between revisions of "1954 AHSME Problems/Problem 17"

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<math>\lim_{x\to-\infty} f(x)=-\infty</math>.  
 
<math>\lim_{x\to-\infty} f(x)=-\infty</math>.  
  
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This means it goes up and the right, and down and to the left. <math>\boxed{(\boxed{A})}</math>
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This means it goes up and the right, and down and to the left. <math>\boxed{(\textbf{A})}</math>

Revision as of 20:15, 14 April 2016

Problem 17

The graph of the function $f(x) = 2x^3 - 7$ goes:

$\textbf{(A)}\ \text{up to the right and down to the left} \\ \textbf{(B)}\ \text{down to the right and up to the left}\\ \textbf{(C)}\ \text{up to the right and up to the left}\\ \textbf{(D)}\ \text{down to the right and down to the left}\\ \textbf{(E)}\ \text{none of these ways.}$

Solution 1

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. $\boxed{(\textbf{A})}$

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