Wednesday

September 17, 2014

September 17, 2014

Posted by **janet** on Sunday, December 26, 2010 at 11:13am.

h(x)=x^4-10x^2+2

- precalculus -
**MathMate**, Sunday, December 26, 2010 at 2:18pmThe intermediate value theorem states that:

"for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value".

This implies that when the function evaluated at the limits of an interval have opposing signs, a zero of the function exists between the limits.

By graphing the function, you will find that all four real roots fall between -4 and +4. Use the roots features available in most graphing calculators to find the "exact" roots.

Hint: you can check the results by substituting y=x² which transforms the function to a quadratic function in y that can be solved exactly. x is simply ±√(y).

**Answer this Question**

**Related Questions**

math - x^3 + 4x^2 + 14x + 20 use the root or zero feature of a graphing utility...

math - x^3 + 4x^2 + 14x + 20 use the root or zero feature of a graphing utility...

College Algebra - 1. Use the Intermediate Value Theorem to show that the ...

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

Use the intermediate value - Use the intermediate value theorem to show that the...

Use the intermediate value - Use the intermediate value theorem to show that the...

intermediate value thorem - Use intermediate value theorem to show that the ...

Algebra - Use the intermediate theorem to show that the polynomial function ...

Trigonometry - Directions: Use a graphing utility to approximate the solutions ...

college algebra - Use the intermediate value theorem to determine whether the ...