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UMUC Asia MATH107 Prof. Andrew Won Jessica L Hampton Quiz 7 Q7.1. Graph 𝑓(𝑥) = √x − 8 and use the graph to determine whether the function is one-to-one. If the function is one-to-one, find 𝑓 −1 3 Q7.2. An organization determines that the cost per person of chartering a bus is given by 𝐶(𝑥) = 100+5𝑥 𝑥 , where 𝑥 is the number of people in the group and 𝐶(𝑥) is in dollars. Determine 𝐶 −1 (𝑥) and explain what it represents. Show graph of C(x) and its inverse function C-1(x). Q7.3. The value of a stock is given by the function V(t) = 58(1 − e−1.1t ) + 20, where 𝑉 is the value of the stock after time 𝑡, in months. Find 𝑉(1), 𝑉(6), and 𝑉(12). Graph 𝑉(𝑡). Q7.4. In chemistry, the pH of a substance is defined by pH = −log[H + ], where H+ is the hydrogen ion concentration, in moles per liter. Graph pH(H). Then find the pH of each substance. a) Pineapple juice 1.6x10-4 b) Mouthwash 6.3x10-7 c) Hair rinse 0.0013 Q7.5. Solve and graph log 2 (𝑥 − 3) ≥ 4.