Question

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

Explanation:

Step1: Understand f(0) meaning

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

Step2: Substitute x = 0

Substitute \( x = 0 \) into \( f(x)=3 - 2x \), we get \( f(0)=3-2\times0 \).

Step3: Calculate the value

Simplify \( 3 - 2\times0 \), since \( 2\times0 = 0 \), then \( f(0)=3 - 0=3 \).
The special name of \( f(0) \) is the y - intercept (or the value of the function at \( x = 0 \), which is the point where the graph of the function intersects the y - axis).

Answer:

The notation \( f(0) \) means the value of the function \( f(x) \) when \( x = 0 \). \( f(0)=\boldsymbol{3} \). The special name of \( f(0) \) is the y - intercept (or the function's value at \( x = 0 \)).