PLEASE SOLVE ALL THE PARTS Q3). Given the function below complete the following tasks: y = f(x)

PLEASE SOLVE ALL THE PARTS

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Q3). Given the function below complete the following tasks: y = f(x) = x³ + 4x? – 20x – 48 %3D Graph the function showing all intercepts, turning points, point(s) of inflection, and state the domain and range a). Graph the gradient function f'(x) showing all intercepts, turning points, and state the domain and range b). What do the intercepts and turning points of the gradient function f'(x) indicate about the function f(x), and does the gradient continually change, remain uniform or is it constant ? c). d). State the values of x for which the gradient function f'(x) is defined or undefined What does the derivative of the gradient function f'(x) indicate about the nature of the function f(x) ? Where applicable, use diagrams to demonstrate your answer . e). f). Graph the second derivative of the function f"(x), and state the domain and range Explain how the graph of f"(x) relates to the point of inflection and turning points. Where applicable, use diagrams to demonstrate your answer . g). Q3). Given the function below complete the following tasks: y = f(x) = x³ + 4x? – 20x – 48 %3D Graph the function showing all intercepts, turning points, point(s) of inflection, and state the domain and range a). Graph the gradient function f'(x) showing all intercepts, turning points, and state the domain and range b). What do the intercepts and turning points of the gradient function f'(x) indicate about the function f(x), and does the gradient continually change, remain uniform or is it constant ? c). d). State the values of x for which the gradient function f'(x) is defined or undefined What does the derivative of the gradient function f'(x) indicate about the nature of the function f(x) ? Where applicable, use diagrams to demonstrate your answer . e). f). Graph the second derivative of the function f"(x), and state the domain and range Explain how the graph of f"(x) relates to the point of inflection and turning points. Where applicable, use diagrams to demonstrate your answer . g).

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