1. **Problem Statement:** Find the relative maxima and minima of the function $f$ based on the given graph description. 2. **Understanding Relative Extrema:** - A **relative maximum** is a point where the function changes from increasing to decreasing, forming a peak. - A **relative minimum** is a point where the function changes from decreasing to increasing, forming a trough. 3. **Given Information:** - The graph is sinusoidal between $x=1$ and $x=5$. - Peaks (relative maxima) near $y=5$ at about $x=2.2$ and $x=4.8$. - A trough (relative minimum) near $y=1$ at about $x=3.5$. 4. **Answer:** - Relative maxima occur at $x \approx 2.2$ and $x \approx 4.8$ with values $f(2.2) \approx 5$ and $f(4.8) \approx 5$. - Relative minimum occurs at $x \approx 3.5$ with value $f(3.5) \approx 1$. **Final answer:** - Relative maxima: $(2.2, 5)$ and $(4.8, 5)$ - Relative minimum: $(3.5, 1)$