1. The problem is to analyze the linear function $y=13.69x$. 2. This is a linear function of the form $y=mx+b$, where $m=13.69$ is the slope and $b=0$ is the y-intercept. 3. The slope $m=13.69$ means for every 1 unit increase in $x$, $y$ increases by 13.69 units. 4. Since $b=0$, the line passes through the origin $(0,0)$. 5. To find the x-intercept, set $y=0$: $$0=13.69x \implies x=0.$$ So the x-intercept is also at the origin. 6. The function has no extrema (no maximum or minimum) because it is a straight line with constant slope. 7. Summary: The line passes through the origin with a steep positive slope of 13.69. Final answer: The function $y=13.69x$ is a straight line through the origin with slope 13.69, x- and y-intercepts at $(0,0)$, and no extrema.