Answer:
(1,12) is correct if you meant
.
Please correct if I'm wrong about your expression.
Explanation:
I think you mean
.
Let's test the point and see.
A. (0,12)?
(0,12)=(x,y)
What happens when x equals 0? Is the result 12?
![3 \cdot 4^0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ydhl1lq5ehtf4fn17cnrvi5ru2aexk96x4.png)
![3 \cdot 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jg5f6dg74jrhp67vwy617p66tg1g8p5r95.png)
![3(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3aim8ainkuxfh5yz4xens8g746zk8nbjyb.png)
![3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j9nm6zke2w2yvzr90sfzxxfsj5zwj66fau.png)
Yep that isn't 12 so (0,12) is not on the graph of f.
B. (0,0)?
(0,0)=(x,y)
What happens when x equals 0? Is the result 0?
![3 \cdot 4^0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ydhl1lq5ehtf4fn17cnrvi5ru2aexk96x4.png)
We already this and got 3 so (0,0) is not on the graph of f.
C. (1,12)?
(1,12)=(1,12)
What happens when x equals 1? Is the result 12?
![3 \cdot 4^1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4opzbeyryspvcjxbvlaj83v11ex2udq2mu.png)
![3 \cdot 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/shqqxwppnhxbfbwqcl5c0p9rulovjk3dtg.png)
![12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wvpxz3p9i93p309kd4thjsmrs3yj4dvvi6.png)
The result is 12 so (1,12) is on the graph of f.
C. (12,1)
(12,1)=(x,y)
What happens when x equals 12? Is the result 1?
![3 \cdot 4^(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o9vyp5qqdf1kpr4pu8a0q45na7qcqron4x.png)
This will result in a really big number that isn't 1 so (12,1) is not on the graph of f.
(1,12) is correct if you meant
.