Linear function - ii
is a linear function and . What is ?
If you think that there is no unique answer for , enter 66.
The answer is 66.
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1 solution
f ( x ) = a x + b
f ( 2 8 ) − f ( 4 2 ) = 2 8 a + b − 4 2 a − b = − 1 4 a = 5
a = − 1 4 5
However, b remains indeterminate, so that any function in the form: f ( x ) = − 1 4 5 x + b will satisfy the equation.
f ( 4 4 6 6 ) = − 1 4 5 ⋅ 4 4 6 6 + b
It is still not defined.
However, it is a linear function and does not actually have more than one value for the given value of x .