\( \# 3 \quad f ( x ) = x ^ { 2 } + x - 20 \)
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Did you know this quadratic function can be easily factored? The expression \(f(x) = x^2 + x - 20\) can be rewritten as \((x + 5)(x - 4) = 0\). This means that the solutions, or roots, of the function are \(x = -5\) and \(x = 4\). These values are where the function crosses the x-axis - exciting stuff for graphing enthusiasts! In real life, quadratic functions like this one can model various scenarios, such as projectile motion or revenue projections. For example, if you think about it in terms of revenue, \(f(x)\) could represent profit where \(x\) is the number of units sold—knowing the zeros (like -5 and 4) helps in understanding the break-even points where profit transitions to a loss.