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OpenStudy (anonymous):
Sure.
OpenStudy (anonymous):
The graphs of four exponential functions are shown below:
OpenStudy (anonymous):
Which pair of graphs should be plotted to show the solution to 1 over 2 (3)x = 2 (1 over 2)x?
OpenStudy (anonymous):
1/2(3)x=1/2x?
OpenStudy (anonymous):
AW... sorry, wrong graph
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OpenStudy (anonymous):
Or, picture I mean
OpenStudy (anonymous):
OpenStudy (anonymous):
is that your equation?
OpenStudy (anonymous):
Thats the graph. Sorry XD
OpenStudy (anonymous):
Close, there is a 2 infront of the second 1/2
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OpenStudy (anonymous):
1.5x=x? (solved)
OpenStudy (anonymous):
.5x = 0
OpenStudy (anonymous):
x = 0
OpenStudy (anonymous):
Okay, so the options are:
Graphs P and Q
Graphs Q and R
Graphs R and S
Graphs P and S
Which one would it be?
OpenStudy (anonymous):
I really have never done exponential functions yet soo.
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OpenStudy (anonymous):
Sorry
OpenStudy (anonymous):
Its okay :(
OpenStudy (campbell_st):
can you just repeat the question
OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
The graphs of four exponential functions are shown below:
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OpenStudy (anonymous):
Which pair of graphs should be plotted to show the solution to 1 over 2 (3)x = 2 (1 over 2)x?
OpenStudy (campbell_st):
ok.... and
OpenStudy (anonymous):
Thats it?
OpenStudy (campbell_st):
ok... so are the functions
\[\frac{1}{2} (3)^x\]
and
\[2(\frac{1}{2})^x\]
OpenStudy (anonymous):
Yup
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OpenStudy (campbell_st):
ok... so you need to find where they intersect
here is an easy solution. graph them using this site
https://www.desmos.com/calculator
just enter
y = 1/2(3)^x
and
y = 2(1/2)^x
OpenStudy (campbell_st):
this will show where the point of intersection is...
OpenStudy (anonymous):
So, do they intersect at 4,32?
OpenStudy (campbell_st):
no, here is my input, graphs and point of intersection
OpenStudy (anonymous):
Mine looked waaaayy different
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OpenStudy (campbell_st):
do you think you can identify the 2 curves now
OpenStudy (anonymous):
Okay, I typed it in again and I got the same as you now
OpenStudy (anonymous):
Probably.
OpenStudy (campbell_st):
ok, good luck
OpenStudy (anonymous):
Would the answer be graph Q and R?
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OpenStudy (campbell_st):
have a look at the y-intercepts in the file I attached... they are 2 and 1/2
so I'd select P and S