Question

Which statements below are true about the graph of the function f(x) = 1/x+2?

I. The graph represents a rational function

II. The graph has a vertical asymptote at x = -2

III. The graph has a y-intercept at ( 0, 12 )

IV. The graph is continuous


A. All statements are true


B. I, II and III only


c. IV only


d. I and II only

Answer 1

The correct answer is D. I and II only

Explanation:

I. The graph represents a rational function.

This is true because the function is a ratio of two polynomials.

II. The graph has a vertical asymptote at x = -2.

This is true because the denominator of the function is equal to 0 at x = -2.

III. The graph has a y-intercept at ( 0, 12 ).

This is false because the function is undefined at x = 0.

IV. The graph is continuous.

This is false because the function has a vertical asymptote at x = -2.