Find the average rate of change of f:
(a) from 1 to 2
f(x)=8x^2-x
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OpenStudy (anonymous):
i got an answer of 30 but the correct answer says it's 23
OpenStudy (anonymous):
@jim_thompson5910 could you check this for me please?
jimthompson5910 (jim_thompson5910):
what are f(2) and f(1) ?
OpenStudy (anonymous):
f(2)=30 and f(1)=0
jimthompson5910 (jim_thompson5910):
f(2) = 30 is correct
f(1) = 0 is not correct
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OpenStudy (anonymous):
oh ok i know what i did wrong
OpenStudy (anonymous):
are you available to help me with one more problem?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
Sketch the graph of each function.
a.) f(x)=l x l
b.) f(x)=\[\sqrt[3]{x}\]
c.)f(x)=\[\sqrt{x}\]
d.)f(x)=1/x
OpenStudy (anonymous):
**Be sure to label atleast three points
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jimthompson5910 (jim_thompson5910):
do you know how to generate a point for any function?
OpenStudy (anonymous):
i don't think i do
jimthompson5910 (jim_thompson5910):
say x = 0
f(x) = |x|
f(0) = |0| ... replace every x with 0
f(0) = 0 ... take the absolute value of 0 to get 0
so one ordered pair is (0,0) since x = 0 and y = 0
jimthompson5910 (jim_thompson5910):
what is another ordered pair on y = |x| ?
OpenStudy (anonymous):
(2,2)?
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jimthompson5910 (jim_thompson5910):
good, what are 2 more (use one positive x value and a negative x value)
OpenStudy (anonymous):
(-3,3) and (-1,1)
jimthompson5910 (jim_thompson5910):
so if you generate enough points, you'll get an idea of what the graph looks like
jimthompson5910 (jim_thompson5910):
connecting all of the points will generate the line or curve of the function
jimthompson5910 (jim_thompson5910):
the more points you generate, the more accurate the graph
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