int verify_first_5 (double coefficients [], double x_endpoints [])
{
    int low_val = evaluate_f_x(coefficients, x_endpoints[0]);
    int high_val = evaluate_f_x(coefficients, x_endpoints[1]);
    int x_switch = 0;

    if (x_endpoints[0] >= x_endpoints[1])
    {
        printf("Data warning: switching x endpoints!");
        x_switch = x_endpoints[0];
        x_endpoints[0] = x_endpoints[1];
        x_endpoints [1] = x_switch;
    }

    else if((low_val*high_val) > 0)
    {
           printf("Data error: function does not ");
           printf("have opposite signs on endpoints");
           return 0;
    }
    else if (low_val && high_val == 0)
    {
        return 1;
    }
    else
    {
        return 1;
    }

}




/**************************************************************
* Function verify_tolerance verifies tolerance inputs
* Input:
*   Accepts an array of tolerances
*
* Output:
*	returns 1 if data provided is valid; otherwise returns 0
*
*
***************************************************************/

double verify_tolerance (double tolerances[])
{

   if (tolerances[0] <0 || tolerances[1] < 0)
    {
      return 0;
    }
    else
    {
        return 1;
    }


}