Domain, Continuity and the Intermediate Value Theorem
56. Graph the function f defined by
-1 if x <= -1
f(x) = x if -1 < x <= 3/2
x^2 if 3/2 < x
Specify the domain on which this function is continuous, and the points of discontinuity.
62. Use the Intermediate Value Theorem to prove that the function defined by f(x) = x^3 + 4x^2 + x -1 has three real roots.
© BrainMass Inc. brainmass.com March 4, 2021, 7:42 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/domain-continuity-and-the-intermediate-value-theorem-117847
Solution Summary
This shows how to graph a function and determine the interval on which it is continuous, and use the intermediate value theorem to prove a function has three roots in an attached Word document.
$2.49