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, you can calculate exactly one value of y by substituting x into the equation.
4. Since each x produces only one y, the equation passes the vertical line test (if graphed, no vertical line would intersect the graph at more than one point).
5. Therefore, based on the definition and the form of the equation, conclude that this equation represents a function.