This table shows values that represent a quadratic function. What is the average rate of change for the quadratic function for the interval from x = 4 to x = 6? 

The average rate of change for the interval from x = 4 to x = 6 is -10 option (D) -10 is correct.

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:

brainly.com/question/17177510

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