Answer:
2) y = 0.5^x
Explanation:
Plug in x coordinates to see which equation makes up the graph. We can see that the y values lower even after using positive numbers so this eliminates the possibility of 1) as that would make the y values increase. Starting with coordinates (-1, 2), let's plug these into 2):
y = 0.5^x
2 = 0.5^-1
2 = 2
Correct
Use another pair of coordinates to see if it still works:
(-2, 4)
4 = 0.5^-2
4 = 4
It does!
Check the other equations just to make sure this is the only option:
2 = 5^(- - 1)
Negative + Negative = Positive
2 = 5^1
2 = 5
Incorrect.
2 = 0.5^(- - 1)
2 = 0.5^1
2 = 0.5
Incorrect.
This means our first solution is the only solution.