[size=150]A quadratic function [math]f[/math] is defined by [math]f\left(x\right)=\left(x-7\right)\left(x+3\right)[/math].[/size][br][br]Without graphing, identify the [math]x[/math]-intercepts of the graph of [math]f[/math]. Explain how you know.[br]
Expand [math]\left(x-7\right)\left(x+3\right)[/math] and use the expanded form to identify the [math]y[/math]-intercept of the graph of [math]f[/math].[br]
What are the [math]x[/math]-intercepts of the graph of the function defined by [math]\left(x-2\right)\left(2x+1\right)[/math]?
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[/img][br][br]Which expression could define this function?
[size=150]What is the [math]y[/math]-intercept of the graph of the equation [math]y=x^2-5x+4[/math]?[/size][br]
An equivalent way to write this equation is [math]y=\left(x-4\right)\left(x-1\right)[/math]. What are the [math]x[/math]-intercepts of this equation’s graph?[br]
[size=150]Noah said that if we graph [math]y=\left(x-1\right)\left(x+6\right)[/math], the [math]x[/math]-intercepts will be at [math]\left(1,0\right)[/math] and [math]\left(-6,0\right)[/math].[br][br][/size]Explain how you can determine, without graphing, whether Noah is correct.
[size=150]A company sells a video game. If the price of the game in dollars is [math]p[/math] the company estimates that it will sell [math]20,000-500p[/math] games.[br][/size][br]Which expression represents the revenue in dollars from selling games if the game is priced at [math]p[/math] dollars?
An applet is provided below for you to draw a diagram if needed. [br][br][math]\left(x-3\right)\left(x-6\right)[/math]
[math]\left(x-4\right)^2[/math]
[math]\left(2x+3\right)\left(x-4\right)[/math]
[math]\left(4x-1\right)\left(3x-7\right)[/math]
[size=150]Consider the expression [math]\left(5+x\right)\left(6-x\right)[/math].[/size][br][br]Is the expression equivalent to [math]x^2+x+30[/math]? Explain how you know.[br]
Is the expression [math]30+x-x^2[/math] in standard form? Explain how you know.[br]
[size=150]Here are graphs of the functions [math]f[/math] and [math]g[/math] given by [math]f\left(x\right)=100\cdot\left(\frac{3}{5}\right)^x[/math] and [math]g\left(x\right)=100\cdot\left(\frac{2}{5}\right)^x[/math].[br][br][img]data:image/png;base64,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[/img][br][/size][br]Which graph corresponds to [math]f[/math] and which graph corresponds to [math]g[/math]? Explain how you know.
[size=150]Here are graphs of two functions [math]f[/math] and [math]g[/math].[/size][br][img]data:image/png;base64,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[/img][br]An equation defining [math]f[/math] is [math]f\left(x\right)=100\cdot2^x[/math].[br][br]Which of these could be an equation defining the function [math]g[/math]?