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Question
think about the function f(x) = 3 - 2x. what does the notation f(0) mean? the output (y - value) when x = 0 complete f(0) = 3 complete what is the special name of f(0)? the x - intercept the y - intercept
Step1: Understand function - notation meaning
The notation $f(0)$ represents the value of the function $y = f(x)$ when $x = 0$.
Step2: Calculate $f(0)$
Given $f(x)=3 - 2x$, substitute $x = 0$ into the function: $f(0)=3-2\times0=3$.
Step3: Identify special - name
The value of $f(x)$ when $x = 0$ is the $y$-intercept of the function. In the coordinate - plane, for a function $y = f(x)$, when $x = 0$, the point is $(0,f(0))$ which lies on the $y$-axis.
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The special name of $f(0)$ is the y - intercept.