2. a. Define the terms injection, surjection, bijection. b. Let X = R and Y = R and the function f: XY be given by: r+ 1, if r > 0 f(r) = x - 1, otherwise Is f injective ? If so, give a proof. If not,...

2.<br>a. Define the terms injection, surjection, bijection.<br>b. Let X = R and Y = R and the function f: XY be given by:<br>r+ 1, if r > 0<br>f(r) =<br>x - 1, otherwise<br>Is f injective ? If so, give a proof. If not, explain why.<br>c. Let X = R and Y = R and the function f: XY be given by:<br>x+ 1, if r > 0<br>f(r) =<br>T - 1,<br>otherwise<br>Is f surjective, bijective ? If so, give a proof. If not, explain why.<br>

Extracted text: 2. a. Define the terms injection, surjection, bijection. b. Let X = R and Y = R and the function f: XY be given by: r+ 1, if r > 0 f(r) = x - 1, otherwise Is f injective ? If so, give a proof. If not, explain why. c. Let X = R and Y = R and the function f: XY be given by: x+ 1, if r > 0 f(r) = T - 1, otherwise Is f surjective, bijective ? If so, give a proof. If not, explain why.

Jun 04, 2022

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2. a. Define the terms injection, surjection, bijection. b. Let X = R and Y = R and the function f: XY be given by: r+ 1, if r > 0 f(r) = x - 1, otherwise Is f injective ? If so, give a proof. If not,...

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