Use limits involvingto describe the asymptotic behavior of the function from its graph. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not otherwise exist, enter DNE.)

f(x) =3x+ 1

x1

Thexy-coordinate plane is given. A curve, a vertical dashed line, and a horizontal dashed line are graphed.

• A vertical dashed line crosses thex-axisatx= 1.
• A horizontal dashed line crosses they-axisaty= 3.
• The curve with 2 parts enters the window almost horizontally belowy= 3,goes down and right becoming more steep, crosses thex-axisat approximatelyx=0.3,crosses they-axisaty=1,exits almost vertically just to the left ofx= 1,reenters almost vertically above thex-axis just to the right ofx= 1,goes down and right becoming less steep, and exits the window almost horizontally abovey= 3.

lim

x

f(x)

=lim

x1

f(x)

=lim

x1⁺

f(x)

=lim

x1

f(x)

=lim

x

f(x)

=