Which ordered pairs lie on the graph of the exponential function f(x)=4(5)2xf(x)=4(5)2x ?

The given function is:
f(x) = 4* (5)^(2x)

To know which point belongs to the given function, substitute with the x value in the function and calculate the corresponding y as follows:
At x = -1:
y = f(-1) = 4 * (5)^(2*-1) = 4/25 (choice A is correct)
At x = 0:
y = f(0) = 4* (5)(2*0) = 4 (choice B is wrong)
At x = 1:
y = f(1) = 4* (5)(2*1) = 100 (choice C is wrong)
At x = 2:
y = f(2) = 4* (5)(2*2) = 2500 (choice D is correct)

Based on the above calculations:
Choices A and D are both correct

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