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10 votes
10 votes
14) Find the range of f(x) = -3x – 3 for the domain {-2, 1, 2,5}. A. {3, -6, -18) B. {-6, -9, -18) C. (3, 6, -9) D. {3, -6, -9, -18}

User Vladyslav Sheruda
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1 Answer

7 votes
7 votes

D)\lbrace3,-6,-9,-18\rbrace

Step-by-step explanation

the range of a function is the set of values that y takes

Step 1

Let

the function


y=-3x-3

Domain


\lbrace-2,1,2,5\rbrace

Step 2

all you have to do is replace the values in the domain to obtain the range


\begin{gathered} \lbrace-2,1,2,5\rbrace \\ x=-2 \\ y=-3(-2)-3 \\ y=+6-3 \\ y=3 \end{gathered}

we have the first number, we can discard option B.


\begin{gathered} x=1 \\ y=-3(1)-3 \\ y=-3-3 \\ y=-6 \\ \text{then, we have by now} \\ \lbrace3,-6\rbrace \end{gathered}


\begin{gathered} x=2 \\ y=-3(2)-3 \\ y=-6-3 \\ y=-9 \\ \text{then, we have} \\ \lbrace3,-6,-9\rbrace \end{gathered}
\begin{gathered} x=5 \\ y=-3(5)-3 \\ y=-15-3 \\ y=-18 \\ \lbrace3,-6,-9,-18\rbrace \end{gathered}

so, the answer is option D

User Hinekyle
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3.1k points