Q:

HELP PleASE WILL GIVE BRAINLISTDetermine which function has the greatest rate of change as x approaches infinity. f(x) = 2x − 8 g(x) = 5x2 − x + 7 h(x) = 4x − 6 There is not enough information to determine the answer.

Accepted Solution

A:
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]