standard_description: Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
problem_activity: Problem 1
All of the four quadrants represent the same function but use a different representation. Explain how you know that each of these quadrants represents the same function.
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Problem 2
Describe a characteristic that each of the quadrants shown below does not share with the rest.
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You should have at least one characteristic for each quadrant.
Problem 3
Allison states that the slope of the following equation is 3.
$${3x + 4y = 8}$$
Allison creates a table of values for the equation and is confused when it does not appear that the slope in the table is 3.
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Explain how Allison found the slope from the table.
Explain the mistake Allison made in finding the slope from the equation.
Graph the equation.


aligns: no