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Think about the function [tex]f(x) = 3 - 2x[/tex].

1. What does the notation [tex]f(0)[/tex] mean?

[tex]f(0) = \ \square[/tex]

2. What is the special name of [tex]f(0)[/tex]?

[tex]\square[/tex]

Sagot :

GinnyAnswer
Let's work through the problem step by step.

First, let's think about the function [tex]\( f(x) = 3 - 2x \)[/tex].

The notation [tex]\( f(0) \)[/tex] signifies the value of the function [tex]\( f(x) \)[/tex] when [tex]\( x \)[/tex] is equal to 0.

To find [tex]\( f(0) \)[/tex], we substitute [tex]\( x = 0 \)[/tex] into the function:

[tex]\[ f(0) = 3 - 2 \cdot 0 \][/tex]
[tex]\[ f(0) = 3 \][/tex]

So,

[tex]\[ f(0) = 3 \][/tex]

The special name for [tex]\( f(0) \)[/tex] is the y-intercept of the function. The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when [tex]\( x = 0 \)[/tex].

So, the special name of [tex]\( f(0) \)[/tex] is the y-intercept.

Thus, the detailed solution to the problem is:
[tex]\[ f(0) = 3 \][/tex]
and
[tex]\[ f(0) \][/tex] is called the y-intercept.
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