graph these two functions on the graphing calculator: y = 3x^2 and y = 3^x. based on the graphs on your…

Explanation:

Step1: Analyze the nature of functions

The function $y = 3x^{2}$ is a quadratic function, and its general form is $y=ax^{2}+bx + c$ (here $a = 3,b = 0,c = 0$). The function $y = 3^{x}$ is an exponential function with base $a=3$.

Step2: Consider growth - rate behavior

Quadratic functions $y = ax^{2}$ grow as a polynomial. Their rate of change is a linear function. Exponential functions $y=a^{x}(a>1)$ have a rate of change that is proportional to the function's current value. As $x$ gets larger, exponential functions with $a > 1$ grow faster than polynomial functions.

Answer:

$y = 3^{x}$