Question

Fill in the missing value:

The function ( f(x) = 3x² - 2x + _____ ) has a rate of change of 6 at ( x = 2 ).

a) 1
b) 2
c) 3
d) 4

Answer 1

The missing value in the function f(x) = 3x² - 2x + _____ can be determined by finding the derivative of the function and setting it equal to the given rate of change. The missing value is 10.

Step-by-step explanation:

The missing value in the function f(x) = 3x² - 2x + _____ can be determined by finding the derivative of the function and setting it equal to the given rate of change. The derivative of the function is f'(x) = 6x - 2.

By substituting x = 2 into the derivative equation, we get 6(2) - 2 = 10. Therefore, the missing value is 10.