Using the Intermediate Value Theorem In Exercises 95-100, verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f ( x ) = x 2 + x x − 1 , [ 5 2 , 4 ] , f ( c ) = 6
Using the Intermediate Value Theorem In Exercises 95-100, verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f ( x ) = x 2 + x x − 1 , [ 5 2 , 4 ] , f ( c ) = 6
Solution Summary: The author explains the intermediate value theorem for the function f(x)=
Using the Intermediate Value Theorem In Exercises 95-100, verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem.
f
(
x
)
=
x
2
+
x
x
−
1
,
[
5
2
,
4
]
,
f
(
c
)
=
6
Determining Concavity In Exercises 3–14,determine the open intervals on which the graphof the function is concave upward or concavedownward.'
3. f (x) = x2 − 4x + 8
math
Prove that f(x) = x ⋅ |x| is continuous at all points c in ℝ.
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