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Q
QuestionMathematics

How would you write y= 2x−3 in function notation?
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Answer

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Step 1:
I'll solve this problem step by step using the specified LaTeX formatting guidelines:

Step 2:
: Understand Function Notation

Function notation is a way to represent a function by using $$f(x)$$ to represent the output of the function for a given input $$x$$.
The function is typically written as f(x) = \text{expression in terms of x}.

Step 3:
: Rewrite the Equation in Function Notation

f(x) = 2x - 3

Step 4:
: Verify the Equivalence

This means that for any input $$x$$, the function will multiply $$x$$ by 2 and then subtract 3 to produce the output.

Final Answer

Key Points: - The original equation y = 2x - 3 is now written in function notation as f(x) = 2x - 3 - f(x) represents the output of the function for any input x - The function rule remains the same: multiply x by 2 and subtract 3