Problem

Choose the correct function/equation for the following description.
a constant function
Choose the correct answer below.
A. $f(x)=5 x$
B. $f(x)=3 x+6$
C. $f(x)=-8$
D. $f(x)=x^{2}$

Answer

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Answer

Final Answer: The correct function for the given description is \(\boxed{f(x)=-8}\).

Steps

Step 1 :A constant function is a function whose output value is the same for every input value. So, for a constant function, the value of f(x) does not depend on x. Therefore, the correct function should be a constant, not involving x.

Step 2 :Looking at the options, only option C, $f(x)=-8$, is a constant function. This is because the output value is -8 regardless of the input value x.

Step 3 :Final Answer: The correct function for the given description is \(\boxed{f(x)=-8}\).

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