Problem

Consider the following piecewise-defined function.
\[
f(x)=\left\{\begin{array}{ll}
-5 x-1 & \text { if } x \leq 1 \\
-\frac{1}{4} x-3 & \text { if } x> 1
\end{array}\right.
\]
Step 1 of 3: Evaluate this function at $x=1$. Express your answer as an integer or simplified fraction. If the function is undefined at the given value, indicate "Undefined".
Answer
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\[
f(1)=
\]
Undefined

Answer

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Answer

Final Answer: \(f(1)=\boxed{-6}\)

Steps

Step 1 :The function is defined for all real numbers. To find the value of the function at x=1, we need to substitute x=1 into the first piece of the function, as it is defined for x<=1.

Step 2 :Substitute x=1 into the first piece of the function: \(-5(1)-1=-6\)

Step 3 :Final Answer: \(f(1)=\boxed{-6}\)

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