OpenStudy (howard-wolowitz):

Determine the end behavior of the given polynomial function:

2 years ago
OpenStudy (howard-wolowitz):
2 years ago

OpenStudy (howard-wolowitz):

Hardest question!!!!

2 years ago
OpenStudy (anonymous):

not at all what is the degree of the polynomial? that is pretty much all you need to know, that, and the leading coefficient

2 years ago
OpenStudy (anonymous):

(even or odd)

2 years ago
OpenStudy (howard-wolowitz):

so postive then negative

2 years ago
OpenStudy (anonymous):

? did you find the degree?

2 years ago
OpenStudy (anonymous):

The function can be re-written as\[(x^2 -9)(x^3-5)^2\] when x tends to - infinity the exponents (just plug a very very negative value for x to check ) would make the substituted value positive so the function would tend to +infinity. Similarly when x tens to + infinity (plug a very large positive value for x)then the function again tends to +infinity. SO both ends of the function point upwards.

2 years ago
OpenStudy (howard-wolowitz):

infinity?

2 years ago
OpenStudy (anonymous):

the number line goes to infinity on both ends

2 years ago
OpenStudy (anonymous):

I'll show you, just a sec

2 years ago
OpenStudy (anonymous):

|dw:1424353981209:dw|

2 years ago
OpenStudy (anonymous):

when we say + infinity we mean a very very very large positive number

2 years ago
OpenStudy (anonymous):

similarly when say -infinity we mean a very very very very negative number something like -1000000000000000000000000000000000000000000000000000000000000000000

2 years ago
OpenStudy (howard-wolowitz):

but my answers don have nummbers

2 years ago
OpenStudy (anonymous):

the term infinity basically means that if you can think of a very very very large number infinity is still larger.

2 years ago
OpenStudy (anonymous):

we don't deal with actual numbers here, just the idea of very very very large numbers

2 years ago
OpenStudy (anonymous):

the function will have a graph , right?

2 years ago
OpenStudy (anonymous):

and the graph goes on beyond the size of a page?

2 years ago
OpenStudy (anonymous):

we don't actually see the "ends" just the limits of our sketch

2 years ago
OpenStudy (anonymous):

for example

2 years ago
OpenStudy (anonymous):
2 years ago

OpenStudy (anonymous):

the shape is called the parabola, but the ends that you see on the picture are not the actual ends of the function, just the point where we stopped drawing the curve

2 years ago
OpenStudy (anonymous):

when we talk of the end behavior we mean to say that the check if the ends point upwards towards the + side of the Y axis or downwards towards the negative side of the Y axis

2 years ago
OpenStudy (anonymous):

are you following?

2 years ago
OpenStudy (howard-wolowitz):

yes but its hard

2 years ago
OpenStudy (anonymous):

which grade are you in? I'll tell it you in the relevant terms.

2 years ago
OpenStudy (howard-wolowitz):

11th

2 years ago
OpenStudy (anonymous):

then you must have worked with quadratic equations?

2 years ago
OpenStudy (howard-wolowitz):

so the end infinity sign must be negative right?

2 years ago
OpenStudy (anonymous):

plotting graphs from tabular values like|dw:1424354707618:dw|

2 years ago