What is the value of f(16) − f(0) when f(x) = 4x – 8?
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OpenStudy (mathstudent55):
Find f(16) by replacing 16 for x in 4x - 8
Then do the same for 0.
Then subtract the results.
OpenStudy (anonymous):
so it would be 56-8
which gives you the answer of 48
OpenStudy (anonymous):
@mathstudent55
OpenStudy (mathstudent55):
You are on the right track, but you need to be careful.
\(f(x) = 4x - 8\)
\(f(16) = 4(16) - 8 = 64 - 8 = 56\)
\(f(0) = 4(0) - 8 = ~~?\)
Then
\(f(16) - f(0) = 56 - ~~? = ~~ ?\)
OpenStudy (mathstudent55):
Look above.
What is f(0) equal to?
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OpenStudy (anonymous):
0
OpenStudy (mathstudent55):
No.
f(0) = 4(0) - 8 = 0 - 8
What is 0 - 8 equal to?
OpenStudy (anonymous):
oh sorry its equal to -8
OpenStudy (mathstudent55):
Right.
Now remember you are subtracting the values of the function, so what is
56 - (-8) = ?
OpenStudy (anonymous):
64
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OpenStudy (mathstudent55):
Correct.
OpenStudy (mathstudent55):
That's what I meant by being careful.
You needed to do 56 - (-8) = 56 + 8 = 64, which you did now,
not 56 - 8 = 48, which you did earlier.