Graph the exponential function.
\[
f(x)=\left(\frac{1}{4}\right)^{x}
\]
Answer
\(\boxed{\text{The graph of the function } f(x)=\left(\frac{1}{4}\right)^{x} \text{ is a decreasing curve that starts at a high value when x is negative and decreases towards 0 as x increases. The graph is asymptotic to the x-axis.}}\)
Step 1 ：The function given is \(f(x)=\left(\frac{1}{4}\right)^{x}\).
Step 2 ：This is an exponential function, so it will start at a high value when x is negative and decrease towards 0 as x increases.
Step 3 ：We can plot the values of y for different values of x to graph this function.
Step 4 ：The graph of the function is a decreasing curve that starts at a high value when x is negative and decreases towards 0 as x increases.
Step 5 ：The graph is asymptotic to the x-axis, meaning it gets infinitely close to the x-axis but never touches or crosses it.
Step 6 ：\(\boxed{\text{The graph of the function } f(x)=\left(\frac{1}{4}\right)^{x} \text{ is a decreasing curve that starts at a high value when x is negative and decreases towards 0 as x increases. The graph is asymptotic to the x-axis.}}\)
