The ordered pairs lie on the graph of the exponential function [tex]\rm f(x) = 4(5)^{2x}[/tex] is (2,2500) and this can be determined by using the arithmetic operations.
Given :
Exponential Function --- [tex]\rm f(x) = 4(5)^{2x}[/tex]
The following steps can be used in order to determine the ordered pairs lie on the graph of the exponential function:
Step 1 - Write the exponential function.
[tex]\rm f(x) = 4(5)^{2x}[/tex]
Step 2 - Substitute the value of (x = -1425) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times -1425}[/tex]
[tex]\rm f(x) = 4(5)^{-2850}[/tex]
By simplifying the above function it does not give the value of f(x) = -1425, therefore, option (A) is incorrect.
Step 3 - Substitute the value of (x = 0) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times 0}[/tex]
f(x) = 4
Therefore, option (B) is also incorrect.
Step 4 - Substitute the value of (x = 1) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times 1}[/tex]
f(x) = 100
Therefore, option (C) is also incorrect.
Step 5 - Substitute the value of (x = 2) in the above exponential function.
[tex]\rm f(x) = 4(5)^{2\times2}[/tex]
f(x) = 2500
Therefore, option (D) is correct.
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https://brainly.com/question/13101306
