sm101
Can someone help me please!?
Evaluate the piecewise-defined function for the given values.
If f(x) =
x for x ≥ 0
x2 for x < 0
, find f(5), f(6), f(−2), and f(−3).
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sm101
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x2 = x^2
mark_o.
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@ sm101
for x>=0 what is f(x)=?
then what is f(5)=? and f(6)=?
sm101
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I don't know... ??
mark_o.
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for x>=0 what is f(x)=? it is f(x)=x just use the formula given
then what is f(5)=? and f(6)=?.... f(5)=x and f(6)=6..
mark_o.
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next f(x)=x^2 for x<o use this formula for x<0 w/c is x=-2 and x=-3
therefore
f(−2)=___?), and f(−3).=___?
sm101
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ok.. I'll try
mark_o.
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ok good just plug into the formula f(x)=x^2 right?
sm101
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|dw:1354063436337:dw|
sm101
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in case you had trouble reading the question ^
sm101
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I'm not sure how to substitute the f(5) and to come up with a solution
mark_o.
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ok the picewise prob means that for x>=0 the formula you have to use is f(x)=x
and for x<0 the formula you have to use is f(x)=x^2
mark_o.
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that is for the piecewise formula here
If f(x) = x for x ≥ 0
=x2 for x < 0
mark_o.
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. If f(x) = x for x ≥ 0, the given are x=5 and x=6, therefore
f(5)=5 and f(6)=6
now for
f(x) =x^2 for x < 0, the given are x=-2 and x=-3
therefore
f(x) =x^2
f(-2)=___? and f(-3)=___?
sm101
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f(-2)=-2^2 and f(-3)=-3^2 ?
mark_o.
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yes correct.... :D
mark_o.
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just complete the answer what is (-2)^2=__?and (-3)^2=__?
sm101
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-2^2 = 4 and -3^2 = 9
sm101
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right?
mark_o.
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justa remember for piecewise no matter how many formula they use ,, used them all :D
mark_o.
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yess correct :D
sm101
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yes! let me see if this works
sm101
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what is f(5) and f(6) though?
mark_o.
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use the formula for f(x)>=0 ,,,f(x)=x therefore
f(5)+__? and
f(6)=___?
look up there and read, what we have done up there before.... :D
sm101
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I did.. but I'm confused lol
f(5)+? f(6)=6
mark_o.
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yes sorry that was f(5)=___? :D
yess you are correct f(6)=6
sm101
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ok so f(5) = 5, I know this part, but then how to i find the answer?
sm101
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where do i plug in the 5 and 6?
mark_o.
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yes you are correct, and that was the answer already .... :D
mark_o.
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plug into
f(x)=x therefore
f(5)=__? and
f(6)=__?