I'm here to help you with the question! Let's find the x and y coordinates of the relative extrema for the function f(x) = 3x + 2.
To find the relative extrema of a function, we need to find where the derivative of the function is equal to zero. In this case, we have the function f(x) = 3x + 2.
1. First, calculate the derivative of the function f(x) with respect to x. The derivative of 3x + 2 is simply 3.
2. Set the derivative equal to zero and solve for x:
3 = 0
Since the derivative is a constant (3 in this case), it is never equal to zero. Therefore, this function does not have any relative extrema.
In conclusion, for the function f(x) = 3x + 2, there are no relative extrema as the derivative is a constant and never equals zero.
