If f:{1,2,3}->{a,b}, f(1)=a f(2)=b f(3)=a then explain why f is onto but not one to one

Q: List the ordered pairs in the relation R from A = 0,1,2, 3, 4, B = 1,2, 3, 4, 5, where R is defined…

A: A=0,1,2,3,4 B=1,2,3,4,5 a2=b

Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: Let x={1,2,3,4} and y={1,2,3,4,5,6,7,8,9,10}   and "f" from X to Y is given by…

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Q: Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) f (2,-2)

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Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

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Q: When F(x, y, z) = , evaluate - F( - 4, 4, – 2)

A: Given statement is When F(x, y, z) = < x², z+x,y> evaluate F(-4,4,-2)

Q: Let f be the function from {a, b, c, d} to {1, 2, 3, 4} with f(a) = 4, f(b) = 2, f(c) = 1, and f(d)…

A: For bijection, the function needs to be one to one and onto.

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: C = {4x + 1] x € Z+}, D = {c + d]c € C, d € C}, E = C × D Is C a subset of D or E? Explain a…

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Q: Let f = {(1,-1), (4,-2), (9,-3), (16,4)} and g = {(-1,-2), (-2, -4), (-3,-6), (4,8)}. Show that gof…

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Q: FCX)= X2, [-2,3] show if is or nolt to Find K= ??

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Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

A: Given function is f:1, 2, 3, 4 → 5, 6, 7, 8 defined by f(1) = 6, f(2) = 7, f(3) = 8, f(4) = 6

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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Q: let A = { 1, 2, 3, 4, 5} and B = { a, b, c, d, e, f}. in each case, give an example of a function f…

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Q: It was noted that the binary propositional operators, A and V, can be regarded as functions, f: B x…

A: For any binary operator, number of rows in the truth table =4 Each row can have either True or False…

Q: Draw a diagram out of these sets

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Q: 3. € BA Let A=(z,y) and B=(1,2). Write down each function in the set

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.