State the domain and range of each function below

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State the domain and range of each function below. Explain your process. [A4] [C2] Function Reasoning f(x) = _ 13 √− 4x?+ 16+ 19 f(x) = _1 6x?+ ?81− 99 5. Calculate the average rate of change for the function f(t) = 2 x 3 + 5 over the interval −1 ≤ x ≤ 2. [K3] 6. a. Use an x− interval of 0.0001 to determine the instantaneous range of change of the function f(x)= x 4 +  8 x 3  + 19 x 2 + 12x at x = −2. Give answer to the nearest tenth. [A3] b. Determine whether the function f(x)= x 4 +  8 x 3  + 19 x 2 + 12x at x = −2 has a maximum or minimum at the point where x = −2. Justify your answer.