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3 votes
The two equations below both mean the

same thing.
Which of the equations is written
using function notation?

A) f(x) = -4x + 3

B) y = -4x + 3

User Lemming
by
6.8k points

1 Answer

5 votes

Answer:

A) f(x) = -4x +3

Explanation:

You want to know which of the equations is written using function notation.

A) f(x) = -4x +3

B) y = -4x +3

Function notation

Function notation is used to name a function and specify its arguments (the independent variables). The notation ...

f(x)

tells you the function is named "f" and it has an argument named "x" that is an independent variable. The function definition tells you how the values of the argument(s) will be treated.

Examples

Using the given function f(x) = -4x +3, the notation f(1) means that we intend the function to be evaluated with x=1. The value of the argument is put in place of the variable in the function definition. Then any necessary arithmetic is performed.

f(1) = -4(1) +3 = -4 +3 = -1

We don't have to use numbers for the value of the variable. We can use expressions, or even other functions:

f(a+b) = -4(a +b) +3

f(g(x)) = -4·g(x) +3

The equation written as f(x) = -4x +3 uses function notation, choice A.

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User Khoa Bui
by
6.7k points
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