What is the domain of the quadratic function f ( x ) = x 2 − 4 x + 3

All real number

Step-by-step explanation:

Given

Quadratic equation is

There is no point in the expression where the function is not defined

So, the domain of the quadratic function is all real number

stops on an even number.

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.