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Explain why the function has a zero in the given interval.

0 votes

Explain why the function has a zero in the given interval.

Function                                                    interval

asked Jan 9, 2015 in CALCULUS by anonymous
reshown Jan 9, 2015 by goushi

1 Answer

0 votes

Step 1:

The function is ,  and the interval is

The function is continuous for all values of x.

Substitute in

Step 2:

Substitute in

 

From the intermediate value theorem:

Since and , the function has zero between the interval

Solution:

The function has zero in the interval

answered Jan 9, 2015 by Thomas Apprentice
edited Jan 9, 2015 by bradely

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