Nonnegativity constraints ensure that
a. the solution to the problem will contain only nonnegative values for the decision variables.
b. the problem modeling includes only nonnegative values in the constraints.
c. the objective function of the problem always returns maximum quantities.
d. there are no inequalities in the constraints.

Identify the parent function that can be used to graph the function f(x)= (1/4x)^3

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.

Identify the number 127 as a rational or irrational. explain