Which table of values shows a function with undefined slope?

1) X- 2,2,2,2,2 Y- 4,3,2,1,0

2) X- 0,1,2,3,4 Y- 2,2,2,2,2

3) X- 0,1,2,3,4 Y- 0,1,2,3,4

4) None of the above

Question

Which table of values shows a function with undefined slope?


1) X- 2,2,2,2,2 Y- 4,3,2,1,0

2) X- 0,1,2,3,4 Y- 2,2,2,2,2

3) X- 0,1,2,3,4 Y- 0,1,2,3,4

4) None of the above

anonymous · Answer

The table where y is the same for every value of x is undefined slope

mathstudent55 · Answer

@jtryon Sure?

mathstudent55 · Answer

Can you write two points of the first function?

anonymous · Answer

Table 2 is a horizontal line

mathstudent55 · Answer

A horizontal line has slope zero, not undefined.

anonymous · Answer

Actually none of them have slope undefined

anonymous · Answer

I used some points to plot three separate graphs

mathstudent55 · Answer

Look carefully at the first choice. Since all x-coordinates are the same, 2, when you do the denominator of the slope for any two points, $x_2 - x_1$, you will get zero every time. That will mean division by zero. That means the slope is undefined.

mathstudent55 · Answer

Choice 1 is a vertical line.

anonymous · Answer

Vertical lines have undefined slope

anonymous · Answer

So the answer is choice 1

mathstudent55 · Answer

Correct.