Barrons AP Calculus

SOLUTION: Recalling that f −1 interchanges x and y, we use parametric mode
to graph

f:  x   =   t,  y   =   t^3     +   t

and f   −1: x   =   t^3     +   t,  y   =   t.

Figure N1–13 shows both f(x) and f −1(x).

Figure  N1–13

Parametric equations give rise to vector functions, which will be discussed in
connection with motion along a curve in Chapter 4.

G. POLAR FUNCTIONS

Polar coordinates of the form (r, θ) identify the location of a point by specifying
θ, an angle of rotation from the positive x-axis, and r, a distance from the origin,
as shown in Figure N1–14.

Figure  N1–14

A polar function defines a curve with an equation of the form r = f(θ). Some
common polar functions include: