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Q) Check whether the relation 𝑆 inthe set of all real numbers (ℝ)defined by 𝑆={(𝑎,𝑏):𝑎≤𝑏^3 }

Q) Show that 𝑓:𝑅_+→[−5,∞) given by 𝑓(𝑥)=4𝑥^2+4𝑥−5 is both one-one and onto where 𝑅_+=[0,∞).