Day 354: NDA Maths

1. A.
   The domain is $\{x\in\mathbf{R}\mid x\neq1\}$ and the range is the set of reals.
2. B.
   The domain is $\{x\in\mathbf{R}\mid x\neq1\}$, the range is $\{y\in\mathbf{R}\mid y\neq0\}$ and the graph intersects y-axis at $(0,-1)$.
3. C.
   The domain is the set of reals and the range is the singleton set {0}.
4. D.
   The domain is $\{x\in\mathbf{R}\mid x\neq1\}$ and the range is the set of points on the y-axis.

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1. A.
   1 only
2. B.
   2 only
3. C.
   Both 1 and 2
4. D.
   Neither 1 nor 2

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1. A.
   for all real numbers $a$, $b$ and $c$
2. B.
   only when $a eq 0$
3. C.
   only when $b eq 0$
4. D.
   only when at least one of $a$ and $b$ is non-zero

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1. A.
   0 only
2. B.
   an even number but not necessarily 0
3. C.
   an odd number
4. D.
   0, 1 or -1

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1. A.
   $\frac{1}{12}$
2. B.
   $\frac{1}{18}$
3. C.
   $\frac{1}{36}$
4. D.
   $\frac{1}{72}$

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