which graph represents a function with an initial value of $\frac{1}{2}$?

Explanation:

Step1: Recall the concept of initial - value

The initial - value of a function is the value of the function when (x = 0), i.e., (y=f(0)).

Step2: Check the (y) - values at (x = 0) for each graph

For the first graph, when (x = 0), (y=0.4). For the second graph, when (x = 0), (y = 0.5=\frac{1}{2}).

Answer:

The second graph.