determine whether F(x)=2x-6 is a one to one function

To test the one to one property of a function.

can graph the function and draw a horizontal and a vertical lines.

If the vertical and Horizontal lines intersect the graph in one and only one point, then the function is one to one.

F( X ) = 2X - 6

Y = 2X -6

Let's find F( a), value of f( x ) for X=a

F( a ) = 2a -6

Now : lets find X for F(x) = F( a)

F(a) +6 = 2X

X = ( F(a)+ 6 / 2

We see that for any value of X there is one and only one value of F(x), and for any value of F(x) there is only one value of X.

Therefor Function is one-to- one.

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