Hi there!
[tex]\large\boxed{\text{Average rate} = 2}[/tex]
Use the following equation to solve:
[tex]\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}[/tex]
Solve for the y-values of the equation at the given x values:
f(1) = 1² - 4(1) + 10 = 7
f(5) = 5² - 4(5) + 10 = 15
Plug the solved values into the equation:
[tex]\text{Average rate} = \frac{15 - 7}{5-1}[/tex]
Simplify:
[tex]\text{Average rate} = \frac{8}{4} = 2[/tex]
