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What does it mean for a function to have the Intermediate
Chapter , Problem 16E(choose chapter or problem)
Problem 16E
What does it mean for a function to have the Intermediate Value Property? What conditions guarantee that a function has this property over an interval? What are the consequences for graphing and solving the equation f(x) = 0?
Questions & Answers
QUESTION:
Problem 16E
What does it mean for a function to have the Intermediate Value Property? What conditions guarantee that a function has this property over an interval? What are the consequences for graphing and solving the equation f(x) = 0?
ANSWER:
Solution
Step 1 of 3
In this problem, we have to find the mean for a function to have the intermediate value property.
And what condition guarantee that a function has this property over an interval and what are the consequences for graphing and solving the equation.
Intermediate value theorem states that if the function is continuous on the interval
If is a number between
and
,
That is .
.’. will take on every value between
and
.