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13 problems match “rational functions”. Clear

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11. Parameter sum for a symmetric rational function ●●●○○ 50 ptsGiven the function $f(x)=\frac{x}{ax+b}$ with $a\neq 0$, its graph passes through the point $(-4,4)$ and is symmetric about the line $y=-x$. Find the value of $a+b$. Give your answer as a decimal.
12. Rational function symmetric about y=-x ●●●○○ 50 ptsGiven the function $f(x)=\frac{x}{ax+b}$ with $a\neq 0$, the graph passes through the point $(-4,4)$ and is symmetric about the line $y=-x$. Find the value of $a+b$. Give your answer as a decimal.
13. Maximum traffic flow over average speed ●●●○○ 50 ptsOn a certain road section, the traffic flow $y$ (in thousands of vehicles per hour) and the average speed $v$ (in km/h) of vehicles satisfy $y=\frac{670(v-5)}{v^2-8v+915}$ for $v>5$. Find the average speed $v$ at which the traffic flow is largest, and the maximum traffic flow. Round the maximum traffic flow to one decimal place.

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