Respuesta :

MrGumby
For every x increase, the y decreases by 1 on average. You can tell this by seeing what the totals are for the two extremes. At -3 the value of y is 4.5 and at 1 the value is .5. Subtract the second number by the first and then divide by 4, which is the change in x. 
MrRoyal

The average rate of change of the quadratic function from x = −3 to x = 1  is 1

How to determine the average rate?

The quadratic function is given as:

f(x)  = 1/2(x + 2)² + 5

Calculate f(-3) and f(1)

f(-3)  = 1/2(-3 + 2)² + 5

f(-3)  = 5.5

f(1)  = 1/2(1 + 2)² + 5

f(1)  = 9.5

The average rate of change from x = −3 to x = 1 is then calculated using:

[tex]m= \frac{f(-3) - f(1)}{-3 - 1}[/tex]

So, we have:

[tex]m= \frac{5.5 - 9.5}{-3 - 1}[/tex]

Evaluate

m= 1

Hence, the average rate of change of the quadratic function is 1

Read more about average rate of change at:

https://brainly.com/question/8728504

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