Question

consider the functions shown on the graph. what is the best approximation for the input value when ( f(x)=g(x) )? ( 0.0 ) ( 0.5 ) ( 1.5 ) ( 3.0 )

Explanation:

Step1: Understand the meaning of \( f(x)=g(x) \)

When \( f(x) = g(x) \), it means we are looking for the \( x - \)value where the two functions intersect.

Step2: Locate the intersection point on the graph

By observing the graph, the intersection of \( y = f(x) \) (the red - horizontal line) and \( y = g(x) \) (the blue - line) occurs at a point. The \( x - \)coordinate of this intersection point is approximately \( x = 1.5 \).

Answer:

1.5