The initial value of a function is the value of the function, when x = 0
The initial value of the function is -2.
The function is given as:
[tex]\mathbf{f(x) = 0.5^x - 3}[/tex]
To calculate the initial value, we simply substitute 0 for x.
So, we have:
[tex]\mathbf{f(0) = 0.5^0 - 3}[/tex]
Evaluate the exponents
[tex]\mathbf{f(0) = 1 - 3}[/tex]
Subtract 3 from 1
[tex]\mathbf{f(0) = - 2}[/tex]
Hence, the initial value of the function is -2.
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