Vipul: /* Definition */

2011-09-07T11:31:30Z

Definition

← Older revision		Revision as of 11:31, 7 September 2011
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	==Definition==		==Definition==

	A function <math>f</math> is said to satisfy the '''intermediate value property''' if, for every <math>a < b</math> in the domain of <math>f</math>, and every choice of real number <math>t</math> between <math>f(a)</math> and <math>f(b)/math>, there exists <math>c \in [a,b]</math> that is in the domain of <math>f</math> such that <math>f(c) = t</math>.		A function <math>f</math> is said to satisfy the '''intermediate value property''' if, for every <math>a < b</math> in the domain of <math>f</math>, and every choice of real number <math>t</math> between <math>f(a)</math> and <math>f(b)</math>, there exists <math>c \in [a,b]</math> that is in the domain of <math>f</math> such that <math>f(c) = t</math>.

	==Facts==		==Facts==

Vipul: Created page with "==Definition== A function $f$ is said to satisfy the '''intermediate value property''' if, for every $a < b$ in the domain of $f$ , and every cho..."

2011-09-07T11:30:56Z

Created page with "==Definition== A function <math>f</math> is said to satisfy the '''intermediate value property''' if, for every <math>a < b</math> in the domain of <math>f</math>, and every cho..."

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==Definition==

A function <math>f</math> is said to satisfy the '''intermediate value property''' if, for every <math>a < b</math> in the domain of <math>f</math>, and every choice of real number <math>t</math> between <math>f(a)</math> and <math>f(b)/math>, there exists <math>c \in [a,b]</math> that is in the domain of <math>f</math> such that <math>f(c) = t</math>.

==Facts==

* [[Intermediate value theorem]]: This states that a [[continuous function]] on a [[closed interval]] satisfies the intermediate value property.
* [[Derivative of differentiable function on interval satisfies intermediate value property]]

Intermediate value property - Revision history

Vipul: /* Definition */

Vipul: Created page with "==Definition== A function f is said to satisfy the '''intermediate value property''' if, for every a < b in the domain of f, and every cho..."

Vipul: Created page with "==Definition== A function $f$ is said to satisfy the '''intermediate value property''' if, for every $a < b$ in the domain of $f$ , and every cho..."