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OpenStudy (anonymous):
n the function
f(x) = 5x - 11
how does a decrease of 1 in the independent variable x affect
f(x)?
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jimthompson5910 (jim_thompson5910):
say x = 1
f(x) = 5x - 11
f(1) = 5(1) - 11
f(1) = 5 - 11
f(1) = -6
So when x = 1, f(x) = -6
OpenStudy (anonymous):
f(x) will have a decrease of 5
f(x) will have an increase of 5
f(x) will have an increase of 16
f(x) will have a decrease of 5x - 5
are the choices
jimthompson5910 (jim_thompson5910):
now say x = 0 (x decreases by 1)
f(x) = 5x - 11
f(0) = 5(0) - 11
f(0) = 0 - 11
f(0) = -11
Now when x = 0, f(x) = -11
jimthompson5910 (jim_thompson5910):
you have these two facts
x = 1, f(x) = -6
and
x = 0, f(x) = -11
OpenStudy (anonymous):
i dont get it
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OpenStudy (anonymous):
what does that have to do with the problem
jimthompson5910 (jim_thompson5910):
going from f(x) = -6 to f(x) = -11 has f(x) decreasing by _____
OpenStudy (anonymous):
5
jimthompson5910 (jim_thompson5910):
so f(x) decreases by 5 when x decreases by 1
jimthompson5910 (jim_thompson5910):
which is exactly what the slope is saying
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OpenStudy (anonymous):
is f(x) will have a decrease of 5 the answer
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
you sure
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
thanks very much
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