Question

The table of values represents a quadratic function.

Answer 1

Answer:

the average rate of change for f(x) from x = 0 to x = 10 is, 21

Step-by-step explanation:

Average rate(A(x)) of change of f(x) over interval [a,b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

The table of values represents a quadratic function.

We have to find the average rate of change for f(x) from x = 0 to x = 10

At x = 0

⇒f(0) = -6

at x = 10

⇒f(10) = 204

Substitute these in [1] we have;

$A(x) = \frac{f(10)-f(0)}{10-0}$

⇒$A(x) = \frac{204-(-6)}{10}$

⇒$A(x)=\frac{210}{10}$

Simplify:

A(x) = 21

Therefore, the average rate of change for f(x) from x = 0 to x = 10 is, 21

Answer 2

The average rate change is 11