Question

graph this function.
$y = 4^{x}$
plot two points to graph the function.

Explanation:

Step1: Choose x=0, solve for y

Substitute $x=0$ into $y=4^x$:
$y=4^0=1$
Point: $(0, 1)$

Step2: Choose x=1, solve for y

Substitute $x=1$ into $y=4^x$:
$y=4^1=4$
Point: $(1, 4)$

Step3: Choose x=-1, solve for y

Substitute $x=-1$ into $y=4^x$:
$y=4^{-1}=\frac{1}{4}=0.25$
Point: $(-1, 0.25)$

Answer:

Key points to plot: $(0, 1)$ and $(1, 4)$ (or $(-1, 0.25)$). The graph is an increasing exponential curve passing through these points, approaching the x-axis as $x\to-\infty$ and rising rapidly as $x\to+\infty$.