Answer:
[tex]g(x)=5x^2-x+7[/tex]
Step-by-step explanation:
Here we are given three functions and we are asked to determine which one of them is having highest rate of change as x approaches to infinity
As we see all the function , g(x) is containing [tex]x^2[/tex] and no other function is having an exponent bigger than g(x). As x approaches to infinity , [tex]x^2[/tex] significantly large as compared to the x . Hence the function containing [tex]x^2[/tex] will be having highest change as x approaches to infinity . hence our correct answer is [tex]g(x) = 5x^2-x+7[/tex]
