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) =

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 Keypad 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. \[ f(1)= \] $\square$ Undefined
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Solution

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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.

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