Question

if the graph of a function passes through the origin, what must be true of the function? a. the graph of the function must be a straight line. b. the function will only work for positive values of x c. there cannot be a constant in the equation of the function. d. as x increases, y must also increase

Answer 1

Given the situation that a graph of a function passes through the origin, c. there cannot be a constant in the equation of the function. This is because even if the x is substituted as zero, the constant term can raise the y-value to a non-zero digit. Hence the (0,0) is not achieved anymore in this case,