Question

graph this function.
$y = \frac{5}{6}(3)^x$
plot two points to graph the function.

Explanation:

Step1: Choose x=0, solve for y

Substitute $x=0$ into $y=\frac{5}{6}(3)^x$. Since $3^0=1$, we get:
$y=\frac{5}{6}(1)=\frac{5}{6}\approx0.83$
This gives the point $(0, \frac{5}{6})$.

Step2: Choose x=1, solve for y

Substitute $x=1$ into $y=\frac{5}{6}(3)^x$. Since $3^1=3$, we get:
$y=\frac{5}{6}(3)=\frac{15}{6}=2.5$
This gives the point $(1, 2.5)$.

Answer:

Plot the points $(0, \frac{5}{6})$ (or $(0, 0.83)$) and $(1, 2.5)$ on the coordinate grid, then draw a smooth exponential curve passing through them.