Question

choose the function that is graphed below.
choose 1 answer:
a ( y = 6 cdot 2^x )
b ( y = 2 cdot 6^x )
c ( y = 6 cdot 6^x )

Explanation:

Step1: Test x=0 on all options

For option A: $y=6\cdot2^0=6\cdot1=6$
For option B: $y=2\cdot6^0=2\cdot1=2$
For option C: $y=6\cdot6^0=6\cdot1=6$
The graph passes through $(0,6)$, so eliminate option B.

Step2: Test x=1 on remaining options

For option A: $y=6\cdot2^1=6\cdot2=12$
For option C: $y=6\cdot6^1=6\cdot6=36$
The graph passes through $(1,12)$, so eliminate option C.

Answer:

A. $y = 6 \cdot 2^x$