Estimate value f(4.04)≈2.941
To estimate f(4.04), we refer to the given figure, which includes a function f(x) plotted on a coordinate plane. The point (4, 2) lies on the curve of the function, and a tangent line to the curve at this point is shown. Using this information, we can approximate the value of f(4.04).
The tangent line at (4, 2) provides an approximation of the function's behavior near this point. To estimate f(4.04), we consider the corresponding y-value on the tangent line. The figure does not provide an exact value, but it appears to be approximately 2.941 based on the graph.
Therefore, f(4.04) is estimated to be approximately 2.941, rounded to three decimal places. This estimation is derived from the tangent line's slope at the given point on the curve.