Tag: linear function

  • Problem 2-1: Linearity of Functions

    Which one(s) of the following functions is linear?

    a)  y=x+1.
    b)  y=2x+1.
    c)  y=1.
    d)  y=x^2+x+1.
    e)  y=x^1+1.
    f)  y=\frac{1}{x}.
    g)  y=\sin(x).

    h)  y=\sqrt{x}.
    i)  y=x+\frac{1}{1-x}.

    j)  5x+2y-1=0.
    k)  y=x+c^2. ( c is an arbitrary constant).

    Solution
    a) Linear
    b) Linear
    c) Linear
    d) Nonlinear
    e) Linear
    f) Nonlinear

    g) Nonlinear
    h) Nonlinear
    i) Nonlinear
    j) Linear

    k) Linear