Questions: What is the value of f(-1) in the piecewise function f(x)= -3x+1 when x>1 -2x when x=1 2x-1 when x<1

Transcript text: What is the value of $f(-1)$ in the piecewise function $f(x)=\{$ \[ \begin{aligned} -3 x+1 & \text { when } \mathrm{x}>1 \\ -2 x & \text { when } \mathrm{x}=1 \\ 2 x-1 & \text { when } \mathrm{x}<1 \end{aligned} \]

Solution

Solution Steps

To find the value of $f(-1)$ in the given piecewise function, we need to determine which condition $x = -1$ satisfies. Since $-1 < 1$ , we use the expression $2x - 1$ .

Step 1: Identify the Appropriate Piecewise Condition

To find the value of $f(-1)$ in the piecewise function, we need to determine which condition $x = -1$ satisfies. The piecewise function is defined as: $f(x) = \begin{cases} -3x + 1 & \text{when } x > 1 \\ -2x & \text{when } x = 1 \\ 2x - 1 & \text{when } x < 1 \end{cases}$ Since $-1 < 1$ , we use the expression $2x - 1$ .