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) is non-linear a hyperbola {nl}
Greeting asinus :- )
!
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.
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.