1 Answer

Jholl · Answer 1 · 2024-09-15T14:46:45+0000

Answer:

y=4^(x+1).

Explanation:

1. property of the exponential function [f(x)=a×] is: f(0)=1. If according to the data in the table f(0)=4, then the view of the required equation is

$f(x)=a^(x+b), \ where \ b-integer.$

2. if according to the data in the table the values of 'y' are 4; 16; 64; 256, then the '4' is in the base of the exponential function.

3. finally, the step between 4,16,64 and 256 is 1, then the unknown integer 'b' is '1', and the required equation of the function is

y=4^(x+1);

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