the graph of which function has a $y$-intercept of 3?

Explanation:

Step1: Define the y-intercept

The y-intercept is the point where the graph crosses the vertical y-axis, occurring when $x = 0$.

Step2: Analyze the first graph

Observe the point where the curve intersects the y-axis. The curve crosses the y-axis at the value $y = 3$.

Step3: Analyze the second graph

Observe the point where the curve intersects the y-axis. The curve crosses the y-axis at a value greater than $5$, which is not $3$.

Answer:

The first graph (top image) has a y-intercept of 3.