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(f) lim 1 43 X - 3 (8 ) lim ( x18 )" - 2 x 3 " . Determine the average rate of change of f(x) =-2 over the interval 2 s x $ 3. 2 3 . Use the first principles definition to determine the derivative of (x) =- +x . 3 * -2" ( x - 2 ) 4 . Determine the equation of the tangent to f(x) = 3x? + x at * = | . 6 . . The function g is defined on the interval [-4,4] and its graph is shown below. Use the graph of g to answer the following questions. a) For what values x is g discontinuous? b) For what values of x is g'(x)= 0? c) Evaluate limg (x). 4\\For what value(s) of b is the following function continuous? d) For what values of x does g (x) not exist? Why? ( 1 ) he S(x)= ox -1, if x