The table shows values for a quadratic function what is the average rate of change for this function for the interval from x=1 to x=3

Accepted Solution

Answer: Option AStep-by-step explanation: The average rage of change of the function is the slope. The slope can be calculated with the formula shown below: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] The problem asks for the average rate of change for the given function , for the interval shown below: From x=1 to x=3, Therefore, based on the table, when: [tex]x=1, y=2[/tex] [tex]x=3, y=18[/tex] Then: [tex]y_2=18, y_1=2[/tex] [tex]x_1=3, x_2=1[/tex] When you substitute values, you obtain: [tex]m=\frac{18-2}{3-1}=8[/tex]