The Solution.
At point x = 2, the value of the function is 4.
That is,
[tex]\cdot(x_1=2,y_1=4)[/tex]
At point x = 2, the value of the function is 4.
That is,
[tex](x_2=4,y_2=16)[/tex]
The rate of change of the given function is defined by the formula below:
[tex]\text{Rate of change =}\frac{y_2-y_1}{x_2-x_1_{}}[/tex]
Substituting the values in the above formula, we get
[tex]\text{Rate of change =}\frac{16_{}-4_{}}{4_{}-2_{}}=\frac{12}{2}=6[/tex]
Therefore, the correct answer is 6 (option D)
