Both of these functions grow as x gets larger and larger. Which function eventually exceeds the other? f(x)=0.5x^2+x g(x)=0.6x+8

To determine which function eventually exceeds the other as x gets larger, we need to compare the growth rates of the two functions.The function is a quadratic function, which means its growth rate is proportional to the square of x. On the other hand, the function is a linear function, which means its growth rate is proportional to x.As x gets larger and larger, the quadratic function will eventually exceed the linear function because the growth rate of the quadratic function is faster than that of the linear function.Therefore, the function will eventually exceed the function as x gets larger and larger.