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 Keyboard Shortcuts Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. \[ f(1)= \] Undefined
Solution
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: \(f(1)=\boxed{-6}\)
