Advanced Algebra with Trigonometry
Challenge Problem 6
Name
Directions: Show all work and reasoning to receive full credit.
For Questions 1-3, use the following equation.
f (x)   p x  q
1) If p = ½ and q > 0, express the area between the function and the x-axis as a function of q.
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2) If q = 6 and p > 0, express the area between the function and the x-axis as a function of p.
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x  3 and let h(x)   x  6 . Graph g(x) and h(x) on the graph below. Make sure you
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label your functions. Then, find the area between the two functions.
3) Let g(x)  
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