Domain and Range of a Function

Q.

What does $R$ mean in the domain?

Q.

What is Domain and Range of a Function?

Q. The domain of a function corresponds to the (independent/ dependent) variable, whereas the range of a function corresponds to the (independent/ dependent) variable.

Q. Consider the set of values of the independent variable $x$ and dependent variable $y.$

$x=\{3,5,7,11\}$
$y=\{121,25,9\}$

Is this a function? If not, what changes must be done to convert the given relation to a function?

1. Yes, it is a function.
2. $49$ must be included in the domain or $7$ must be exluded form the range.
3. $7$ must be excluded from the domain or $49$ must be included in the range.
4. None of the above.

Q. For the function shown in the diagram below, Choose the appropriate pairs.

1. Domain
2. Range
3. Co-domain
4. $\{1,2,3\}$
5. $\{a,b,c,d\}$
6. $\{a,b,c\}$

Q. Guess the rule of linear relation for the given mapping diagram.

1. $y=7x-20$
2. $y=20-7x$

Q. For a function, choose the appropriate pairs:

1. Input values
2. Output values
3. Domain
4. Range
5. Every function
6. Is a relation

Q. For the rule $y=7-8x,$ generate the possible domain and range.

1. Domain: $\{-2,5,7,9,\}$
   Range: $\{-65,-49,-33,23\}$
2. Domain: $\{-5,-1,4,8\}$
   Range: $\{-57,-25,15,48\}$
3. Domain: $\{-3,0,1,3\}$
   Range: $\{-17,-1,7,31\}$
4. Domain: $\{1,2,-3,-4\}$
   Range: $\{1,4,9,16\}$

Q. Identify the domain and the range of the function $y=\frac{3x+6}{2}$ for $x$ as even integers between $4.5$ to $\mathrm{10.5.}$

1. Domain $=\{5,6,7,8,9,10\}$
2. Range $=\{12,15,18\}$
3. Domain $=\{6,8,10\}$
4. Range is all real values.

Q.

What are the intercepts of $5x+3y=-7$ ?