Determine if each equation is a function.
$y=2x+3$

• A. Function
• B. Not a function
• C. Cannot be determined

Answer: (A)

Verified step by step guidance

1. Recall the definition of a function: a relation where each input (x-value) corresponds to exactly one output (y-value).
2. Look at the given equation: \(y = 2x + 3\). This is a linear equation where y is expressed explicitly in terms of x.
3. For every value of x, calculate y by substituting x into the equation. Since the equation is linear and has no restrictions, each x gives exactly one y.
4. Because each input x has exactly one output y, the relation described by \(y = 2x + 3\) satisfies the definition of a function.
5. Therefore, conclude that the equation represents a function.