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

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).

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