Use the following to answer questions : f(x) = x 3 + 2x -Use the difference quotient to find a rate of change formula for the function. A) = 3x² + 3xh + 3 B) = 3x² + 3xh + h² + 3 C) = 3x² + 3x + h² + 3 D) = 3x² + 3x + 3

Question

Quizplus · Accepted Answer

To find the rate of change formula using the difference quotient, we need to use the formula: (f(x+h) - f(x))/h Substituting the given function in the formula, we get: ((x+h)³ + 2(x+h)) - (x³ + 2x))/h Simplifying the above expression, we get: ((x²h + h² + 2h))/h Canceling out h, we get: 3x² + 3xh + h² + 3 Therefore, the best choice is B.

Use the Following to Answer Questions