For the given table of values for a polynomial function, where must the zeros of the function lie?

NetherCraft 0

x f(x)

2.0 2.8

2.5 1.1

3.0 -0.8

3.5 -1.2

4.0 -0.3

4.5 0.7

A. between 2.0 and 2.5 and between 4.0 and 4.5

B. between 2.5 and 3.0 and between 4.0 and 4.5

C. between 2.0 and 2.5 and between 3.5 and 4.0

D. between 2.5 and 3.0 and between 3.5 and 4.0

1 Answer

  • Look at the signs for f(x). The interval where the signs change is where the zeros are, i.e. where they cross the y-axis.

    So the answer is B.

    Hint: Try plotting out the table on a graph, x is the values of x and f(x) the values of y. When you connect the dots you’ll see how the answer makes sense.

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