Let be defined parametrically as , , .

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

y = f(x)

be defined parametrically as

y = t^2 + t|t|

x = 2t - |t|

t \in \mathbb{R}

. (1) Find

f(x)

. (2) Discuss the continuity at

x = 0