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Mathematics, 15.12.2020 19:20 saabrrinnaaa

A teacher gave her class two functions, f(x) =|x+6| – 2 and g(x) = --x^2+10, and asked for the solution(s) of the equation f(x) = g(x).
The answers given by four students are shown below:
Lisa: only 2
Helen: only 6
Brian: 1 and 6
Kevin: -3 and 2
Who found the solution correctly and why?

A. Kevin because the solutions are the x values of the points of intersection of the graphs of f(x) and g(x)
B. Helen because the solutions are the y values of the points of intersection of the graphs f(x) and g(x) but solutions paired with negative x values must be discarded because f(x) is an absolute value function.
C. Brian because the solutions are the y values of the points of intersection of the graphs of f(x) and g(x)
D. Lisa because the solutions are the x values of the points of intersection of the graphs of f(x) and g(x) but the negative solutions must be discarded because f(x) is an absolute value function.

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