Answer :
When x gets large, the function of highest degree will always grow the fastest.
The blue curve (f(x)) may start out below the others, but quickly surpasses them.
The blue curve (f(x)) may start out below the others, but quickly surpasses them.

Answer:
Option 2. f(x) = 4x² + 9x
Step-by-step explanation:
In this question we have to tell which function grows at the fastest rate for increasing values of x.
1) h(x) = 2x It's a linear function increasing with the value of x.
2). f(x) = 4x²+9x It's a function representing parabola. Moreover the value of the function increases exponentially as the function is in the form of quadratic equation.
3). g(x) = 18x it's again a linear function.
Therefore out of three functions Function 2 will grow at the fastest rate for increasing values of x.