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Standard XI

Statistics

Range

The domain an...

Question

The domain and range of the signum function is:

R, [0, ∞]

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R - {0}, {-1, 1}

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R, R

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(- ∞,∞), {-1, 0, 1}

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Solution

The correct option is D
(- ∞,∞), {-1, 0, 1}

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Q. The domain and range of real function f defined by

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(c) Domain = [1, ∞), Range = [0, ∞)
(d) Domain = [1, ∞), Range = [0, ∞)

Q. A galvanometer has resistance G and Current I_g produced full scale deflection.

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The solution for the equations $c_{1} x + b_{1} y + a_{1} = 0$ and $c_{2} x + b_{2} y + a_{2} = 0$ is

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S2 : $y = \frac{(a_{2} c_{1} - a_{1} c_{2})}{(c_{2} b_{1} - c_{1} b_{2})}$

If $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ in the system of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

S1 : The following is condition for inconsistent equations

S2 : There exists infinitely many solutions

S3 : The equations satisfying the condition are parallel

Which of the following statements are true ?

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The domain and range of the signum function is:

The correct option is D (- ∞,∞), {-1, 0, 1}

The correct option is D
(- ∞,∞), {-1, 0, 1}