Question

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

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

Answer 1

Answer: (A), (C)

Domain: $\{-3,0,1,3\}$

Range: $\{-17,-1,7,31\}$
The rule is $y=7-8x.$

Let's consider the given domains and ranges one by one.
Domain: $\{-2,5,7,9\}$
Range: $\{-65,-49,-33,23\}$
Let's generate the $y$ values corresponding to the $x$ values using the given relation.
x y

-2	5	7	9
23	-33	-49	-65

$\therefore$ These are correct pairs of domain and range as all the $x$ values are associated with exactly one $y$ value.

Similarly, we find that Domain: $\{-3,0,1,3\}$
and Range: $\{-17,-1,7,31\}$ is also a possible option.