• Answers in Evaluation:
For Letter A.1
[tex] \tt Domain: \\ \tt \{ 0,1,2,3,4\} \\ \tt Range: \\ \tt \{ 6,5,4,3,2\}[/tex]
For Letter A.2
[tex] \tt Domain: \\ \tt \{ 0,1,2,3,4,5\} \\ \tt Range: \\ \tt \{5,1\}[/tex]
✓Domain is the set of all values of x while range is the set of all values of y in the given set of ordered pairs.
For Letter B.1
[tex]\tt \: Domain:( -\infty,\infty) ,\{x|x \in R \}\\ \tt{Range:( - \infty, \infty)},\{y|y \in R\}[/tex]
For Letter B.2
[tex]\tt \: Domain:( - \infty, 3) \cup( 3,\infty), \{{x|x \: \cancel = \: 3} \}\\ \tt{Range:( - \infty, 0) \cup( 0,\infty)},\{y|y \: \cancel = \: 0\}[/tex]
✓Domain is the set of all values of x that satisfy the equation. Range is the set of all the values of y. Therefore, you can just think of any number and substitute such in the equation. If both expressions are equal, then the value of x or y satisfy the given equation.
For Letter C.1
[tex]\tt{f(x)=-3x+7} \\\tt{ f(5) = - 3(5) + 7} \\\tt{ f(5) = - 15 + 7} \\\tt f(5) = - 8[/tex]
For Letter C.2
[tex]\tt{f(x)=-3x+7} \\\tt f( - 4) = - 3( - 4) + 7 \\ \tt{f( - 4) = 12 + 7} \\ \tt{f( - 4) = 19}[/tex]
✓Note that f(x) is just the same as y.
✓You just need to substitute the given value of x to the equation for you to be able to get the value of the unknown which is y.
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