Complete the table of inputs and outputs for the function
1 answer:
Answer:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
Step-by-step explanation:
f(x) = –5(x + 7)
1. x = –9, f(x) =?
f(x) = –5(x + 7)
f(x) = –5(–9 + 7)
f(x) = –5(–2)
f(x) = 10
2. f(x) = 0, x =?
f(x) = –5(x + 7)
0 = –5(x + 7)
Divide both side by –5
0 / –5 = x + 7
0 = x + 7
Collect like terms
x = 0 – 7
x = –7
3. x = 0, f(x) =?
f(x) = –5(0 + 7)
f(x) = –5(7)
f(x) = –35
4. f(x) = –60, x =?
f(x) = –5(x + 7)
–60 = –5(x + 7)
Divide both side by –5
–60 / –5 = x + 7
12 = x + 7
Collect like terms
x = 12 – 7
x = 5
SUMMARY:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
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