Difference between revisions of "009A Sample Midterm 2, Problem 2"

Revision as of 09:51, 5 February 2017

The function $f(x)=3x^{7}-8x+2$ is a polynomial and therefore continuous everywhere.

a) State the Intermediate Value Theorem.

b) Use the Intermediate Value Theorem to show that

f(x)

has a zero in the interval

[0,1].

Solution:

(a)

Step 1:

Step 2:

(b)

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam">The function <math>f(x)=3x^7-8x+2</math> is a polynomial and therefore continuous everywhere.
+::<span class="exam">a) State the Intermediate Value Theorem.
-::<span class="exam">a)
+::<span class="exam">b) Use the Intermediate Value Theorem to show that <math>f(x)</math> has a zero in the interval <math>[0,1].</math>
-::<span class="exam">b)