Is f 2x 2f x

Is f(2x)=2f(X)? No, for example take f(x) = 1/x then f(2x) = 1/(2x) and 2f(x) = 2(1/x). This does not apply to the vast majority of functions.

f(2x), value of function at point 2x. 2f(x), twice value of function at point x.

2f(x) says to multiply the function values by 2. So, let’s say the function is f(x) = x^3 + 4x – 2, If we then chose x to be 5, f(5) would equal 125 + 20 -2 = 143. and 2f(5) would equal 286.

Stretches and Shrinks. We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

Simply put, the Y=f(x) equation calculates the dependent output of a process given different inputs.