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Given the function [tex]\( y = f(x) = -5^x \)[/tex],

Find [tex]\( f(x) \)[/tex] when [tex]\( x = 0 \)[/tex].

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GinnyAnswer
To find the value of the function [tex]\( f(x) = -5^x \)[/tex] when [tex]\( x = 0 \)[/tex], follow these steps:

1. Substitute [tex]\( x = 0 \)[/tex] into the function:
[tex]\[ f(0) = -5^0 \][/tex]

2. Apply the exponent rule:
Any non-zero number raised to the power of zero is 1. Therefore, [tex]\( 5^0 = 1 \)[/tex].

3. Include the negative sign:
Now, include the negative sign attached to the exponentiated term:
[tex]\[ f(0) = -1 \][/tex]

Thus, the value of the function when [tex]\( x = 0 \)[/tex] is [tex]\(\boxed{-1}\)[/tex].
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