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Let f : R^+ ->{-1, 0, 1} defined by f(x)...

Let `f : R^+ ->{-1, 0, 1}` defined by `f(x) = sgn(x-x^4 + x^7-x^8-1)` where sgn denotes signum function then f(x) is (1) many- one and onto (2) many-one and into (3) one-one and onto (4) one- one and into

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. Which of the following statements are incorrect? I. If f(x) and g(x) a...

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  3. Let f : R^+ ->{-1, 0, 1} defined by f(x) = sgn(x-x^4 + x^7-x^8-1) wher...

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  4. Let f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2)) If f(...

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  5. Let f: R-> R, be defined as f(x) = e^(x^2)+ cos x, then f is (a) one-o...

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  6. Let A be a non- empty set of real numbers and f:A->A be such that f(f(...

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  7. Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) the...

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  11. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

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  12. The graph of a function y=g(x) is shown in the following figure. If...

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  13. Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined b...

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  18. The graph of a function y=g(x) is shown in the following figure. If ...

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  19. Let f(x) be real valued and differentiable function on R such that f(x...

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