Consider the graphs of the functions $y=4^{x}$ and $y=\left(\frac{1}{4}\right)^{x}$. How would you describe the rate of increase of $y=4^{x}$ ?
Choices:
A.$y$ is increasing at a constant rate
B.$y$ is increasing at a decreasing rate
C.$y$ is increasing at an increasing rate
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Consider the graphs of the functions $y=4^{x}$ and $y=\left(\frac{1}{4}\right)^{x}$. How would you describe the rate of increase of $y=4^{x}$ ?
Choices:
A.$y$ is increasing at a constant rate
B.$y$ is increasing at a decreasing rate
C.$y$ is increasing at an increasing rate
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Consider the graphs of the functions $y=4^{x}$ and $y=\left(\frac{1}{4}\right)^{x}$. How would you describe the rate of increase of $y=4^{x}$ ?
Choices:
A.$y$ is increasing at a constant rate
B.$y$ is increasing at a decreasing rate
C.$y$ is increasing at an increasing rate