The sum and product of two linear functions are shown. Which statements are true of the original functions, f(x) and g(x)? Check all that apply. When added, the sum of the y-intercepts must be 4. When multiplied, the product of the the y-intercepts must be 3. f(x) and g(x) have either both positive or both negative rates of change. f(x) could have a rate of change equal to 2, and g(x) could have a rate of change equal to 1. f(x) could have a rate of change equal to 0, and g(x) could have a rate of change equal to 3.