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44 votes
!!PLEASE HELP!!! FOR 30 POINTS

According to the graph of the rational function

y= 4/x^2-4

which of the following statements is/are true?

I. The function is even

II. The function is increasing for all values in the domain

III. There is a horizontal asymptote along the x-axis,

I only
I and II only
I and Ill only
I, II and III

User Carmen DiMichele
by
3.2k points

2 Answers

12 votes
12 votes

Answer:

I and III only

Explanation:

I got it right on the test.

User Yung
by
3.1k points
15 votes
15 votes

9514 1404 393

Answer:

I and III only

Explanation:

The graph is symmetrical about the y-axis, so is an even function.

The function is decreasing in the 1st quadrant, so is not increasing everywhere.

The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.

I and III only

!!PLEASE HELP!!! FOR 30 POINTS According to the graph of the rational function y= 4/x-example-1
User Stephen Wilson
by
2.8k points