Nehemiah

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|Name | Facts | | —– | ——– | |Tom | Chases Jerry | |Garfield | Likes Lasagna | |Meowth | That’s right! |

Here are my math notes. (Assignment Oct/15/2024)

So far in my Math class we have been learing about limits, I will go over just some of the important things to know about limits.

$\lim_{x \to +\infty} f(x) = \infty$

Essentially this just says on a graph, that as x approaches the positive side of the x-axis and goes to the infinity, f(x) or y would be approaching infinity or be going up as well. Here’s how it would look like in a graph:

This is the image of a cubic graph, where if you look at the positive portion of the graph you will see that f(x) appraoches infinity

$\lim_{x \to -\infty} f(x) = -\infty$

This essentially is just vice versa of previous statment, it just says as x approaches negative infinity along the negative portion of the x-axis, f(x) will deacrease or y will go down as shown in the cubic graph image.

Their is something you would want to know about limit statments.

Here’s table that will help you understand this.

func Definition of Function
$x^2$ this graph would have both limit statements pointing all the way up (because th coefficient is 1, posistive)
$-x^2$ this graph would have both limit statements pointing down, because the leading coefficient is negative (-1)
$x^2$ this graph would have f(x) pointing in the opposite direction for both statements. Like the cubic graph
$-x^3$ This graph would have the function pointing the opposite direction of the limts which were of opposit sign

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