Types of Functions
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Sets, Relation and Function

117119 The function \(f:[0,3] \rightarrow[1,29]\) defined by \(f(x)=2 x^3-15 x^2+36 x+1\), is

1 one-one and onto
2 onto but not one one
3 one-one but not onto
4 neither one-one nor onto
[BCECE-2017]
Sets, Relation and Function

117120 Let \(f: \mathrm{N} \rightarrow \mathrm{N}\) defined by \(f(\mathrm{x})=\mathrm{x}^2+\mathrm{x}+1, \mathrm{x} \in \mathrm{N}\) then \(f\) if

1 one-one onto
2 many-one onto
3 one-one but onto
4 None of the above
[BCECE-2016]
Sets, Relation and Function

117121 For real \(x\), let \(f(x)=x^3+5 x+1\), then

1 \(f\) is one-one but not onto \(R\)
2 \(f\) is onto \(R\) but not one-one
3 \(f\) is one-one and onto \(R\)
4 \(f\) is neither one-one nor onto \(R\)
[BCECE-2015]
Sets, Relation and Function

117122 Let \(f: R \rightarrow R\) be a function defined \(f(x)=\frac{x^2-8}{x^2+2}\). by .Then, \(f\) is

1 one-one but not onto
2 one-one and onto
3 onto but not one-one
4 neither one-one nor onto
[BCECE-2015]
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Sets, Relation and Function

117119 The function \(f:[0,3] \rightarrow[1,29]\) defined by \(f(x)=2 x^3-15 x^2+36 x+1\), is

1 one-one and onto
2 onto but not one one
3 one-one but not onto
4 neither one-one nor onto
[BCECE-2017]
Sets, Relation and Function

117120 Let \(f: \mathrm{N} \rightarrow \mathrm{N}\) defined by \(f(\mathrm{x})=\mathrm{x}^2+\mathrm{x}+1, \mathrm{x} \in \mathrm{N}\) then \(f\) if

1 one-one onto
2 many-one onto
3 one-one but onto
4 None of the above
[BCECE-2016]
Sets, Relation and Function

117121 For real \(x\), let \(f(x)=x^3+5 x+1\), then

1 \(f\) is one-one but not onto \(R\)
2 \(f\) is onto \(R\) but not one-one
3 \(f\) is one-one and onto \(R\)
4 \(f\) is neither one-one nor onto \(R\)
[BCECE-2015]
Sets, Relation and Function

117122 Let \(f: R \rightarrow R\) be a function defined \(f(x)=\frac{x^2-8}{x^2+2}\). by .Then, \(f\) is

1 one-one but not onto
2 one-one and onto
3 onto but not one-one
4 neither one-one nor onto
[BCECE-2015]
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Sets, Relation and Function

117119 The function \(f:[0,3] \rightarrow[1,29]\) defined by \(f(x)=2 x^3-15 x^2+36 x+1\), is

1 one-one and onto
2 onto but not one one
3 one-one but not onto
4 neither one-one nor onto
[BCECE-2017]
Sets, Relation and Function

117120 Let \(f: \mathrm{N} \rightarrow \mathrm{N}\) defined by \(f(\mathrm{x})=\mathrm{x}^2+\mathrm{x}+1, \mathrm{x} \in \mathrm{N}\) then \(f\) if

1 one-one onto
2 many-one onto
3 one-one but onto
4 None of the above
[BCECE-2016]
Sets, Relation and Function

117121 For real \(x\), let \(f(x)=x^3+5 x+1\), then

1 \(f\) is one-one but not onto \(R\)
2 \(f\) is onto \(R\) but not one-one
3 \(f\) is one-one and onto \(R\)
4 \(f\) is neither one-one nor onto \(R\)
[BCECE-2015]
Sets, Relation and Function

117122 Let \(f: R \rightarrow R\) be a function defined \(f(x)=\frac{x^2-8}{x^2+2}\). by .Then, \(f\) is

1 one-one but not onto
2 one-one and onto
3 onto but not one-one
4 neither one-one nor onto
[BCECE-2015]
For More Updates join with Us
Sets, Relation and Function

117119 The function \(f:[0,3] \rightarrow[1,29]\) defined by \(f(x)=2 x^3-15 x^2+36 x+1\), is

1 one-one and onto
2 onto but not one one
3 one-one but not onto
4 neither one-one nor onto
[BCECE-2017]
Sets, Relation and Function

117120 Let \(f: \mathrm{N} \rightarrow \mathrm{N}\) defined by \(f(\mathrm{x})=\mathrm{x}^2+\mathrm{x}+1, \mathrm{x} \in \mathrm{N}\) then \(f\) if

1 one-one onto
2 many-one onto
3 one-one but onto
4 None of the above
[BCECE-2016]
Sets, Relation and Function

117121 For real \(x\), let \(f(x)=x^3+5 x+1\), then

1 \(f\) is one-one but not onto \(R\)
2 \(f\) is onto \(R\) but not one-one
3 \(f\) is one-one and onto \(R\)
4 \(f\) is neither one-one nor onto \(R\)
[BCECE-2015]
Sets, Relation and Function

117122 Let \(f: R \rightarrow R\) be a function defined \(f(x)=\frac{x^2-8}{x^2+2}\). by .Then, \(f\) is

1 one-one but not onto
2 one-one and onto
3 onto but not one-one
4 neither one-one nor onto
[BCECE-2015]