Apply your understanding of the discriminant to determine the nature of the
roots (type of solutions) for the following quadratic function:
f(x) = -22 + 4x + 1
No solution
One real solution
Two real solutions
Two imaginary/complex solutions

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce