<p>If the function is defined by (x) =(x-a)(x-b)/(x-c) , where 0 < a < b < c, for which of the following values of x is undefined?</p>
<p>I a
II b
III c </p>
<p>None</p>
<p>I only</p>
<p>III only</p>
<p>I and II only</p>
<p>I, II, and III</p>
<p>The answer is III only. It's pretty easy because you just see that x-c is on the bottom and thats the only place it can be undefined.</p>
<p>I got that answer easily</p>
<p>However, for those who don't understand, they're given this explanation:
If x = a, then = = = 0. If x = b, then = = = 0. If x = c, then = = , which is not defined because division by 0 is undefined. Therefore, of the three values, a, b, and c, the only one for which is undefined is c.</p>
<p>Difficulty: Medium </p>
<p>Oh, well you can't see the equations they have but they're just long and unecessary for this problem. I could imagine this explanation confusing to a math deficient. They could just say c is on the bottom, so its the only one that could be undefined.</p>
<p>Ok, just getting it out there.</p>