Question

A quadratic function is graphed. Compare the estimated average rate of change for the quadratic function to the estimated average rate of change for the exponential function y=−6x
on the interval [0,5]
. Use one of the symbols <
, =
, or >
to describe the comparison.

(1 point)
The estimated average rate of change of the quadratic function
the estimated average rate of change of the exponential function.
Remaining Attempts : 3

Answer 1

To find the average rate of change of the quadratic function over the interval [0, 5], we need the specific form of the quadratic function, which is not provided in your question. However, I can explain how to calculate it if you provide the quadratic function.

For the exponential function given \( y = -6x \):

1. We calculate the average rate of change over the interval [0, 5] using the formula:

\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]

For \( y = -6x \):
- At \( x = 0 \): \( y(0) = -6(0) = 0 \)
- At \( x = 5 \): \( y(5) = -6(5) = -30 \)

Now applying the formula:

\[
\text{Average Rate of Change} = \frac{-30 - 0}{5 - 0} = \frac{-30}{5} = -6
\]

Now, if you can provide the explicit form of the quadratic function, I can calculate its average rate of change over the same interval and compare the two rates of change.

Please provide the quadratic function so I can help you with the comparison.