Saturday

October 25, 2014

October 25, 2014

Posted by **Desperate** on Wednesday, September 24, 2008 at 6:17pm.

The image theorem, a corollary of the intermediate value theorem, expresses the property that if f is continuous on the interval [a, b], then the image (the set of y-values) of f on [a,b] is all real numbers between the minimum of f(x) on [a,b], inclusive. USE THE EXTREME VALUE THEOREM AS A LEMMA (A PRELIMINARY RESULT) TO PROVE THE IMAGE THEOREM.

**Answer this Question**

**Related Questions**

calculus - Verify that the Intermediate Value theorem applies to the indicated ...

Math - Calculus - Show that the equation x^3-15x+c=0 has at most one root in the...

Math - Calculus - Show that the equation x^3-15x+c=0 has at most one root in the...

calculus - Referring to the Mean Value Theorem and Rolle's Theorem, how can I ...

Calculus - Verify the hypothesis of the mean value theorem for each function ...

Math - Use the Intermediate Value Theorem to show that there is a root of the ...

Math - Use the Intermediate Value Theorem to show that there is a root of the ...

calc - Verify that the function satisfies the three hypotheses of Rolle's ...

calculus - Let f(x) = (x+1)/(x-1). Show that there are no vlue of c such that f(...

Calculus - Verify that the hypotheses of the Mean-Value Theorem are satisfied ...