<p>Hello guys!</p>
<p>question:
A portion of the graph of y = f(x) is shown below. Assuming the graph continues in the pattern shown, what is the range of f?</p>
<pre><code>(A) Real numbers
(B) Real numbers, such that
(C) Real numbers, excluding integers
(D) Real numbers, such that f(x) > 0
(E) Integers
</code></pre>
<p><a href="http://imageshack.us/photo/my-images/151/55463670.gif/%5B/url%5D">http://imageshack.us/photo/my-images/151/55463670.gif/</a></p>
<p>please explain me...I dont understand because as far as i know circles dont count.If we look on the graph we see that y coordinates are between integers..Its logical to answer C
but answer is E.</p>
<p>Can you explain why?</p>
<p>I think your reading the graph wrong. The graph is one of a step function, and given x is a non-integral value, y (the range) is rounded down to the nearest integer. </p>
<p>C is the Domain, E is the range</p>
<p>i have never read before that Y(range) is rounded down to the nearest integer…</p>
<p>is it a rule?</p>
<p>I believe that’s just the function. Notice that Y is only 1, 2, 3, -1, -2, -3…which is the definition of an integer.</p>
<p>well if you look at the graph, all of the y-values are integers. Since the range is associated with y-values, the range is all integers.
The x-values, on the other hand, are all NON-integers, so the domain is all non-integers, as C says. But the question asks for the range.</p>
<p>thank you very much…i understood.</p>
