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Which is linear

f(x) = (1/2)2x

or

f(x) = -1/2 (x-2)

Thanks!

 Jul 19, 2016
 #1
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Hello Guest!

 

Which is linear

f(x) = (1/2)2x

or

f(x) = -1/2 (x-2) ?

 

f(x) = (1/2)2x

\(f(x) = \frac{1}{2}\times 2x \)

f(x) = x

f(x) is linear                      a straight {nl}  

 

f(x) = -1/2 (x-2)

\(f(x)= \frac{-1}{2(x-2)} \)

\(f(x) = \frac{ 1}{ 4- 2x}\)

f (x) is non-linear             a hyperbola {nl}  

Greeting asinus :- )

laugh  !

 Jul 19, 2016
edited by asinus  Jul 19, 2016
 #2
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I am not sure that the syntax is accurate. If the first equation should be

\(f(x)=({1\over2})^{2x}\)

then it is not linear

For x=0, f=1

For x=1, f=1/4

For x=2, f=1/16

 

If the second equation should be

\(f(x)=-{1\over{2}}*(x-2)\)

Then you can simplify to \(f(x)=-{x\over{2}}+1\)

which is linear. See that

For x=0, f=1

For x=1, f=1.5

For x=2, f=2

 

If asinus is correct then you can ignore this.

 Jul 20, 2016
 #3
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0

I am not sure that the syntax is accurate. If the first equation should be

\(f(x)=({1\over2})^{2x}\)

then it is not linear

For x=0, f=1

For x=1, f=1/4

For x=2, f=1/16

 

If the second equation should be

\(f(x)=-{1\over{2}}*(x-2)\)

Then you can simplify to \(f(x)=-{x\over{2}}+1\)

which is linear. See that

For x=0, f=1

For x=1, f=0.5

For x=2, f=0

 

EDIT: I forgot the minus there, whoops.

 Jul 20, 2016

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