Let f:R→R be defined by f(x)=∣x∣.
a. (i) Identify the standard type of function represented by f.
b. (ii) Explain, with one algebraic reason and one graphical reason, why f is not classified as a polynomial function of degree 1 even though on each half of the x-axis its graph resembles a straight line.
c. (iii) Determine the domain and range of f.
d. (iv) Is f one-one? Justify your answer.