Answer:
3
Step-by-step explanation:
Given :
x f(x)
-2 0
2 15
7 30
Solution :
Since the average rate of change is slope
So,
Slope m = [tex]\frac{f(x_{2} )-f(x_{1}) }{x_{2}-x_{1} }[/tex]
So, take [tex]f(x_{2} )=30,f(x_{1})=15,x_{2}=7,x_{1} =2[/tex]
Thus the slope = [tex]\frac{30-15 }{7-2} [/tex]
[tex]\frac{15}{5}}[/tex]
[tex]3[/tex]
Thus the average rate of change for the given function is 3
