Which function is the same as -2x - 3 = y?
Understand the Problem
The question asks to identify which function is equivalent to the given equation -2x - 3 = y. We can solve this by rewriting the equation in function notation, where f(x) = y.
Answer
$f(x) = -2x - 3$
Answer for screen readers
$f(x) = -2x - 3$
Steps to Solve
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Rewrite the given equation The given equation is $-2x - 3 = y$.
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Express y in function notation We know that $f(x) = y$, therefore we replace $y$ with $f(x)$ in the given equation: $f(x) = -2x - 3$.
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Find the matching function The function $f(x) = -2x - 3$ matches the first option.
$f(x) = -2x - 3$
More Information
Function notation is a way of writing equations that explicitly shows the input variable $x$. Replacing $y$ with $f(x)$ is the standard way to express a function.
Tips
A common mistake might be misinterpreting the function notation and thinking that $f(-2x)$ or $f(-3)$ are equivalent to the original equation. Remember that $f(x)$ represents the value of the function when the input is $x$.
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