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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

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The function f is graphed in the x y-plane above. If the function g is defined by function g of x = function f of x + 4, for how many values of x between negative 5 and 15 does function g of x equal 0?

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Explanation

The graph of the function g is the same as the graph of the function f translated up 4 units. The function f intersects the x-axis three times, but if the graph is shifted up 4 units, then the graph will intersect the x-axis only twice. Therefore, function g of x is equal to 0 for exactly two values of x between negative 5 and 15.

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