The average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.
What is a quadratic equation?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The quadratic function is represented by the table given in the picture.
As we know, the standard form of the quadratic function is:
f(x) = ax² + bx + c
The rate of change can be defined as the change in values of a dependent variable with respect to the independent variables.
The average rate of change for the interval from x = 4 to x = 6:
= (-37+17)/(6-4)
= (-20)/(2)
= -10
Thus, the average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.
Learn more about quadratic equations here:
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