Let f: R²R be defined byf((x, y)) = 8y - 4x + 1. Is ƒ a lineartransformation?a. f((x1, y₁) + (x2, Y2))(Enter x₁ as x1, etc.)f((x₁, y₁)) + f((x2, y₂)) =+Doesf((x1, y₁) + (x2, 2)) = f((x₁, y₁)) + f((x2, ₂))for all (x1, y₁), (x2, Y₂) € R²?chooseb. f(c(x, y)) =c(f((x, y))) =Does f(c(x, y)) = c(f((x, y))) for allCER and all (x, y) = R²?choosec. Is f a linear transformation?choose

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Let f: R²R be defined by f((x, y)) = 8y - 4x + 1. Is ƒ a linear transformation? a. f((x₁, y₁) + (x2, y2)) (Enter x₁ as x1, etc.) f((x₁, y₁)) + f((x₂, y₂)) = + = Does f((x1, y₁) + (x2, Y2)) = f((x1, Y₁)) + f((x2, Y2)) for all (x1, y₁), (x2, Y₂) € R²? choose b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all CER and all (x, y) = R²? choose c. Is f a linear transformation? choose