Question

think about the function ( f(x)=3 - 2x ).
what does the notation ( f(0) ) mean?
( f(0)= )
what is the special name of ( f(0) )?

Explanation:

Step1: Understand the function notation

The notation \(f(0)\) means substitute \(x = 0\) into the function \(f(x)=3 - 2x\).

Step2: Calculate \(f(0)\)

Substitute \(x = 0\) into \(f(x)\):

$$
LATEXBLOCK0
$$

Step3: Determine the special name

For a linear function \(y = mx + b\) (in this case \(f(x)=- 2x+3\)), when \(x = 0\), \(y=f(0)\). The special name of \(f(0)\) is the \(y\) - intercept.

Answer:

1. \(f(0)\) means substitute \(x = 0\) into the function \(f(x)\).
2. \(f(0)=3\)
3. The special name of \(f(0)\) is the \(y\) - intercept.