To find a point that is on the graph of f(x) = 2*5^x, plug the x values of the coordinates into the equation, and if they equal the y-value that goes with the x-value of the point, then the point is on the graph.
To start, first plug in answer choice D, (0,10). This should look like this:
10=2*5^0
When you simplify this expression, you should get 10=2*1 or 10=2 which is not a true statement. This would mean answer D is not the answer.
Next, try answer C, (0,0):
0=2*5^0
When you simplify this, you should get a result of 0=2^1 or 0=2, which is also not a true statement, eliminating choice C.
Then, plug in choice B, (10,1):
1=2*5^10
This would result in 1= 19531250 which is definitely not a true statement, eliminating choice B.
Finally, plug in choice A, (1,10):
10=2*5^1
This would simplify to 10=10 which is a true statement.
Therefore, your final answer is choice A.
Hope this helps, and Happy Holidays! :)