Determining if a Function Is Homogeneous In
Exercises 69-76, determine whether the function is homogeneous. and if it is, determine its degree. A function f ( x, y ) is homogeneous of degree n if
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Calculus (MindTap Course List)
- 1) write the linear function f for which f(1)=3 and f(4)=0 2) write the linear function f for which f(-2)=6 and f(4)=-93) write the linear function f for which f (1)=4 and f(x)=6write the linear function f for which f(1)=3 and f(6)=0 5) write the linear function f for which f(-3)=-8 and f(1)=-2arrow_forwardPls Help ASAParrow_forwardLet f be the function {(1,4),(2,1),(3,3),(4,2)} and g be the function {(1,3),(2,4),(3,2),(4,3)}{(1,3),(2,4),(3,2),(4,3)}. For each of the functions h given below let c1=h(1), c2=h(2), c3=h(3) and c4=h(4). (So h is the function {(1,c1),(2,c2),(3,c3),(4,c4)}.) If h=f∘f then c1c2c3c4 is equal to Answer_______. If h=f∘g then c1c2c3c4 is equal to Answer_______. If h=g∘f then c1c2c3c4 is equal to Answer________.arrow_forward
- Let f be the function {(1,4), (2, 1), (3, 3), (4, 2)} and g be the function {(1,3), (2, 4), (3, 2), (4, 3}}. For each of the functions h given below let e = h(1), cz = h(2), cg = h(3) and c4 = h(4). (So his the function {{1, e1), (2, c2), (3,c3), (4, c4)}.) If h = fof then cczc3c4 is equal to If h = fog then e1c2c3C4 is equal to If h = gof then c1c2C3C4 is equal toarrow_forwardCalculusarrow_forwardDiscrete Mathematicsarrow_forward
- University of Basrah College of Education for Pure Sci Department of Mathematics Calculus Chapter One – Functions Exercises 2 In exercises (1-20), find the domain and range of each the following where y = f(x) 1. y = 5x + 3 2. y = 2x2 + 1 3. y = -7x – 4arrow_forwardLet f : X → Y and g : Y → X be two functions. (a) Show that R(g ◦ f) ⊆ R(g). (b) Give an example of two functions where R(g ◦ f) ⊂ R(g). Briefly justify your answer. (c) Under what condition on the function f do we have that R(g ◦ f) = R(g)? Graphically explain your answer.arrow_forwardExercises: Exercise 1: Identify whether the given situation represents a one-to-one function or hot 1. {(2,1), (1, 3), (4, 8), (5,7), (6, 9)} 2. {(-2,4), (–1, 1), (0,0), (1, 1), (2, 4)} 3. {(0,4), (1,5), (2,6), (3,7), (n, n+ 4)} 4. Sim cards to cellphone numbers 5. Height to age 6. Pairing of cars to plate numbers 7. 8. 9. 10.arrow_forward
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