Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

think about the function f(x) = 3 - 2x. what does the notation f(0) mea…

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

Explanation:

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.

Answer:

The special name of $f(0)$ is the y - intercept.