The x-intercept: Where the function is zero, or the numerator is zero and the denominator is non-zero: 3x - 2 = 0, or x = 2/3.

The y-intercept: Where x = 0:

Vertical asymptote: where the denominator is zero: x - 4 = 0, or x = -4.

Horizontal asymptote: The limit of the function at infinity:

We can use the Limit at Infinity for Rational Functions:

Draw your graph, and then check it.