An absolute value function is generally of the form \( y = a|x - h| + k \), where \( (h, k) \) is the vertex of the graph and \( a \) is a constant that affects the direction and steepness of the graph.
To determine how many y-intercepts an absolute value function can have, we set \( x = 0 \) and solve for \( y \):
\[ y = a|0 - h| + k = a| - h | + k = a|h| + k \]
This means that the y-intercept is determined by the specific values of \( a \), \( h \), and \( k \).
Since the y-intercept is a single value determined when \( x = 0 \), an absolute value function can only have 1 y-intercept.
Thus, the correct answer is:
An absolute value function’s graph can have only 1 y-intercept.