Easy - Quiz 1

Get comfortable reading and interpreting quadratic, exponential, and other nonlinear functions through graphs, tables, and everyday scenarios.

Question 1 of 5

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Question 1

The function \(f(x) = x^2 - 4x + 3\) models the height, in feet, of a decorative water arc at a fountain, where \(x\) is the horizontal distance in feet from the nozzle. What is the value of \(f(0)\)?

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A population of bacteria doubles every hour. If the initial population is 500, which function gives the population \(P\) after \(t\) hours?

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The function \(g(x) = -2(x - 3)^2 + 8\) represents the profit, in hundreds of dollars, a food truck earns when it sells \(x\) hundred meals in a day. What is the maximum profit?

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A car's value \(V\), in dollars, \(t\) years after purchase is modeled by \(V(t) = 24{,}000 \cdot (0.85)^t\). What does the number 0.85 represent in this context?

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A researcher records the number of downloads for a new app over four weeks: \[\begin{array}{|c|c|} \hline \textbf{Week} & \textbf{Downloads} \\ \hline 1 & 80 \\ 2 & 240 \\ 3 & 720 \\ 4 & 2{,}160 \\ \hline \end{array}\] Which type of function best models the relationship between week number and downloads?

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