If the equation y=2^x is graphed, which of the following values of x would produce a point closest to the x-axis?
A) 1/4
B) 3/4
C) 5/3
D)8/3
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OpenStudy (anonymous):
do you know how the graph of y=2^x looks like?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
how about answering this... if a point was very close to the x-axis, what would you be able to tell me about the y-coordinate of that point?
OpenStudy (anonymous):
y=0 ?
OpenStudy (anonymous):
well, yes... the point's y-coordinate would be very close to 0.
so which of those choices will give you the smallest y-value?
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OpenStudy (anonymous):
1/4?
OpenStudy (anonymous):
idk
OpenStudy (anonymous):
in other words, which is the smallest value?
\(\large 2^{\frac{1}{4}} \) OR
\(\large 2^{\frac{3}{4}} \) OR
\(\large 2^{\frac{5}{3}} \) OR
\(\large 2^{\frac{8}{3}} \) ????
OpenStudy (anonymous):
2 and 1/4
OpenStudy (anonymous):
????
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OpenStudy (anonymous):
@dpaInc ..?
OpenStudy (anonymous):
is it to the power of?
y=2^x
so would it be 2^1/4
OpenStudy (anonymous):
those aren't fractions... \(\large 2^{\frac{1}{4}} \)= "two raised to the 1/4 power"
OpenStudy (anonymous):
oh i see... so
OpenStudy (anonymous):
so is it A because it is the smallest value, getting the closest to the x-axis?
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