Question: Consider the functions f(x) = x and g(x) = sin x on the interval (0, ). (a) Complete the table and make a conjecture about
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).
(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).
x f(x) g(x) 0.5 1 1.5 2 2.5 3
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a x fx gx 05 05 048 1 1 084 15 15 099 2 2 091 25 25 06 3 3 014 Based on the values in the table i... View full answer
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