What is the end behavior of the function f(x) = 2x^4 + 6x^8 - 9x^9 - 5x?

= -∞

[/tex]\lim_{x \to \ -infinity} f(x)[/tex] = +∞

Step-by-step explanation:

First it will be helpful to rearrange the term by power of x like so :

f(x)  =  - 9x^9 + 6x^8 + 2x^4 - 5x

By "end behavior" we mean what happens when x goes to +∞/-∞.

So we need to calculate and [/tex]\lim_{x \to \ -infinity} f(x)[/tex].

It is easy to think as just replacing x with a very big number.(lets say 10000)

And you will see that when x goes to -∞ you will get some very big positive number and when  when x goes to +∞ you will get a very big negative number.

900 degrees

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form