Question

Graphing Limits?

Answer 1

How would I graph something like this? \(\ \Huge lim_{x\rightarrow0^-}f(x)=1 ?\)

Answer 2

Limits are not graphed. You graph the function \(f\), and then from the graph, one can interpret the limit. What is \(f(x)\) in your case?

Answer 3

The Homework Instructions state, "Sketch the graph of an example of a function \(\ f \) that satisfies all of the given conditions"

Answer 4

Okay, so that means for you to make up a function \(f\), that when graphed and you follow it from the left, the curve suggests that at \(x=0\), the value is \(1\) (though it's okay if there's a hole or removable discontinuity at that point though...only the surrounding graph on the left side needs to suggest that the point to follow at \(x=0\) will have an output value of \(1\)).

Answer 5

If that limit is the only condition, then you can draw any graph that passes through the point 0,1

Answer 6

How would I do that??

Answer 7

Make up a random (function) curve that passes through \((0,1)\). It's as easy as that sounds.

Answer 8

What about that limit part, though?

Answer 9

The limit is just telling you that the (y) is heading towards 1, as x is going to 0 from the left. so you can draw any graph that heads to 0,1.

The arrows I drew is to show you that the graph is going towards 0,1