Question

What is the domain of the function graphed below?

A. x = -1,2,4
B. x
C. x=2
D. x=-2,4

= is not equal to sign

Answer 1

x

Explanation:

Domain: input values (x-values)

Asymptote: a line which the curve gets infinitely close to, but never touches.

Hole: a point on the graph where the function is not defined.

From inspection of the graph:

• Vertical asymptotes at x = -1 and x = 4
• Hole at x = 2

As vertical asymptotes and holes restrict the domain of a rational function, the domain is x