Question 152860: Which of the following pair of points is not indicative of a zero of function q(x) per the Intermediate Value Theorem?
a. (2, 4) & (2, -3)
b. (-2, -3) & (2, 3)
c. (0, 1) & (1, -3)
d. (3, -4) & (-6, 12)
Answer by nabla(475) (Show Source):
You can put this solution on YOUR website! (a) is not a function because x is assigned two y values. Remember that a function must pass the vertical line test in order to be called a function. (That is to say, you can not draw a vertical line between any two points).
Moreover, if you are uncertain of a problem like this, make a quick plot of the points. If one point is above y=0 and the other is below y=0, and a less than b or b less than a for (a,y1) and (b,y2), it is indicative of a zero per the IVT.
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