Consider the functions f(x) = x and g(x) = sin x on the interval (0, ). (a)

Question:

Consider the functions f(x) = x and g(x) = sin x on the interval (0, π).


(a) Complete the table and make a conjecture about which is the greater function on the interval (0, π).


image


(b) Use a graphing utility to graph the functions and use the graphs to make a conjecture about which is the greater function on the interval (0, π).


(c) Prove that f(x) > g(x) on the interval (0, π).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

Question Posted: