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Thematcheswould be:f(x, y) = x + 2y: D., f(x, y) = ln(x + 2y): A.,.,: B.To match the functions with the graphs of their domains, let's analyze each function and its corresponding graph:f(x, y) = x + 2y:This function is a linear function with variables x and y. The graph of this function is aplanein three-dimensional space. It has no restrictions on the domain, so the graph extends infinitely in all directions. The graph would be a flat plane with a slope of 1 in the x-direction and 2 in the y-direction.f(x, y) = ln(x + 2y):This function is the natural logarithm of the expression x + 2y. The domain of this function is restricted to x + 2y > 0 since the natural logarithm is only defined for positive values. The graph of this function would be a surface in three-dimensional space that is defined for x + 2y > 0. It would not exist in the region where x + 2y ≤ 0.:This function involvesexponentialgrowth with the base e raised to the power of z multiplied by y. The graph of this function would also be a surface in three-dimensional space. It does not have any specific restrictions on the domain, so the graph extends infinitely in all directions.:This function is a power function with x raised to the power of 4 and y raised to the power of 3. Thegraphof this function would be a surface in three-dimensional space. It does not have any specific restrictions on the domain, so the graph extends infinitely in all directions.For more question onmatchesvisit:brainly.com/question/29255811#SPJ8...