Questions: Consider the following piecewise-defined function.
f(x) =
2x + 6 if x < -1
1/2 x + 3 if x ≥ -1
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".
f(1) =
Transcript text: Consider the following piecewise-defined function.
\[
f(x)=\left\{\begin{array}{ll}
2 x+6 & \text { if } x<-1 \\
\frac{1}{2} x+3 & \text { if } x \geq-1
\end{array}\right.
\]
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 2 Points
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\[
f(1)=
\]
$\square$
Undefined
Solution
Solution Steps
Step 1: Determine the condition that x=1 satisfies.
Given the conditions ['x < -1', 'x >= -1'], x=1 satisfies the condition: x >= -1.
Step 2: Apply the corresponding function expression.
The function expression under this condition is \(g_2(x)\).
Calculation:
\(g_2(1) = 4\)
Final Answer:
The value of the piecewise-defined function at x=1 is 4.