Questions: Given the function f(x)= 4x-4 if x<0 4x-8 if x >= 0 Calculate the following values: f(-1)= f(0)= f(2)=

Transcript text: Given the function \[ f(x)=\left\{\begin{array}{ll} 4 x-4 & x<0 \\ 4 x-8 & x \geq 0 \end{array}\right. \] Calculate the following values: \[ \begin{array}{l} f(-1)=\square \\ f(0)=\square \\ f(2)=\square \end{array} \]

Solution

Solution Steps

Step 1: Identify the Interval

The value of \(x\) is -1, which falls into the interval \(-inf, 0\).

Step 2: Apply the Corresponding Expression

Since \(x\) is in the interval, we use the corresponding expression to evaluate \(f(x)\).

Final Answer:

The value of the function at \(x = -1\) is -8.

Step 1: Identify the Interval

The value of \(x\) is 0, which falls into the interval \(0, inf\).

Step 2: Apply the Corresponding Expression

Since \(x\) is in the interval, we use the corresponding expression to evaluate \(f(x)\).

Final Answer:

The value of the function at \(x = 0\) is -8.

Step 1: Identify the Interval

The value of \(x\) is 2, which falls into the interval \(0, inf\).

Step 2: Apply the Corresponding Expression

Since \(x\) is in the interval, we use the corresponding expression to evaluate \(f(x)\).

Final Answer:

The value of the function at \(x = 2\) is 0.

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