Let f : R? → R be defined by f((x, y)) = 2y – 5x – 4. Is f a linear transformation?a. f((x1, Y1) + (x2, Y2))(Enter x1 as x1, etc.)f(a1, Y1)) + f({x2, Y2)) =%3DDoes f((x1, Y1) + (x2, Y2)) = f({x1, Yı))+ f({x2, Y2)) for all (x1, Y1), (x2, y2) E R?? chooseb. f(c(x, y)) =c(f(x, y)))Does f(c(x, y)) = c(f({x, y))) for all c ER and all (x, y) E R?? choosec. Is fa linear transformation?choose

The given function is f : ℝ2→ℝ be defined by…

Let f : R → R be defined by f((x, y)) = 2y - 5x - 4. Is f a linear transformation? a. f((x1, Y1) + (x2, Y2)) = (Enter x1 as x1, etc.) f(*1, Y1)) + f((x2, Y2)) = + Does f({x1, Y1) + (x2, 42)) = f((x1, Y1)) + f({x2, y2)) for all (x1, y1), (x2, 42) E R?? choose b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c E R and all (x, y) E R?? choose c. Is fa linear transformation? choose