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You graph an exponential function on a calculator. You zoom in repeatedly to 25% of the screen size. The function y=0.25x represents the percent (in decimal form) of the original screen display that you see, where x is the number of times you zoom in.

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MrRoyal

The initial value of the function is 1, and the rate is 0.25

The equation of the exponential function is given as:

[tex]y = 0.25^x[/tex]

Exponential function

An exponential function may represent growth or decay, and it is represented as:

[tex]y = ab^x[/tex]

Where:

  • a represents the initial value
  • b represents the rate (i.e. growth or decay rate)

So, by comparison:

[tex]a =1[/tex] and [tex]b = 0.25[/tex]

Hence, the initial value of the function is 1, and the rate is 0.25

Read more about exponential functions at:

https://brainly.com/question/11464095

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