3 (-1,2.625) -2 -1 4 N 0 -2- (-2,-2.25) -4 Graph of f(x) 1 2 Given the graph of the continuous function, f(x), above, the intermediate value theorem tells us... Since f(-2) < 0 and f(-1) >0, f(x) must be equal to zero for some x value where 0 < x < 2. Since f(-2) < 0 and f(-1) >0, f(x) must be equal to zero for some x value where -2 < x < -1. Since f(-2) < 0 and f(-1) >0, f(x) must be equal to zero for some x value where -2.25 < x < -2.625. Since f(-2) > 0 and f(-1) >0, f(x) might be equal to zero for some x value where -2 < x < -1.

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