23: Symmetry: None.
Intercepts:
(1,0) for t = 0.
Limits:
The negative end of the x-axis is the horizontal asymptote at
t minus infinity.
The positive end of the x-axis is the horizontal asymptote at
t infinity.
The line
x = −1 is the vertical asymptote at t
equal
to −1 (the upper end at −1 from the right,
the lower end at −1 from the left).
Possible oblique asymptotes at t = 1. Try it:
Thus
y = x/2 − 3/4 is the
asymptote at t = 1 (its left end at 1 from the left,
its right end at 1 from the right).
Picture:
Next investigate directions in which the curve goes and mononoticity of the
resulting graph, inclusing "interesting" points.
Next hint
Answer