Find the Average Rate of Change for the Function Between $$f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$$

question 157

Multiple Choice

Find the average rate of change for the function between the given values.
- $$f ( x ) = 4 x ^ { 2 } ; \text { from } 0 \text { to } \frac { 7 } { 4 }$$

• A) \(- \frac { 3 } { 10 }\)
• B) \(\frac { 1 } { 3 }\)
• C) 7
• D) 2

---

Definitions:

Element

A substance consisting of atoms which all have the same number of protons, fundamentally the simplest substances that cannot be broken down using chemical methods.

Isotope

Variants of a particular chemical element that differ in neutron number, and consequently in nucleon number, but have the same number of protons.

Protons

Positively charged particles located in the nucleus of an atom, contributing to the atom's mass and charge.

Isotope

Atoms of the same element with the same number of protons but different numbers of neutrons, leading to different atomic masses.