Question

h(x) = 3·4^x
choose 1 answer:
a
graph a
b
graph b
c
graph c

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $h(x)$:
$h(0)=3\cdot4^0=3\cdot1=3$
So the curve passes through $(0, 3)$.

Step2: Test another x-value (x=1)

Substitute $x=1$ into $h(x)$:
$h(1)=3\cdot4^1=3\cdot4=12$
So the curve passes through $(1, 12)$.

Step3: Match points to graphs

Check which graph goes through $(0,3)$ and $(1,12)$. Option A has the y-intercept at 3 and rises to 12 when $x=1$, matching the calculated points.

Answer:

A. <The graph with y-intercept at (0,3), passing through (1,12), approaching 0 as x approaches negative infinity>