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Draw the graphs of the functions f(x)=x²+x-6 and g(x)=|x²+x-6|. How are the graphs of f and g related?

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Final answer:

To draw the graphs of f(x)=x²+x-6 and g(x)=|x²+x-6|, choose values of x, calculate f(x) and plot the points. The graph of g(x) is the reflection of f(x) across the x-axis.

Step-by-step explanation:

To draw the graphs of the functions f(x)=x²+x-6 and g(x)=|x²+x-6|, we need to plot points on a coordinate plane. For the function f(x), we can choose different values of x, calculate the corresponding values of f(x), and plot the points. For the function g(x), we take the absolute value of the function f(x) and plot the points. The graphs of f(x) and g(x) are related because the graph of g(x) is the reflection of the graph of f(x) across the x-axis.

User Pablo Alsina
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