Question

1. identify the graph of the function $y = 6^x$.

a.
c.
b.
d.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=6^x$:
$y=6^0=1$
So the graph passes through $(0,1)$.

Step2: Test positive x value (x=1)

Substitute $x=1$ into $y=6^x$:
$y=6^1=6$
So the graph passes through $(1,6)$.

Step3: Test negative x value (x=-1)

Substitute $x=-1$ into $y=6^x$:
$y=6^{-1}=\frac{1}{6}\approx0.17$
The graph approaches 0 as $x\to-\infty$.

Step4: Match points to graphs

Check which graph passes through $(0,1)$ and $(1,6)$, and approaches 0 as $x$ decreases.

Answer:

a. <The graph in option a that passes through (0,1), (1,6), and approaches 0 as x→-∞>