Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

Mathematics

2 answers:

vitfil [10]4 years ago

7 0

Solution-

The given function is,

$f(x) = x^4+ x^3-x^2-x$

$= x^3(x+1)- x(x+1)$

$= (x+1)(x^3-x)$

$= (x+1)x(x^2-1)$

$= (x+1)x(x+1)(x-1)$

$= {(x+1)}^2x(x-1)$

Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.

Plotting the graph on desmos, the graph will be as in the attachment.

DENIUS [597]4 years ago

4 0

Answer:

A, or the first graph. :)

Step-by-step explanation:

You might be interested in

You have $30 to spend on downloading songs for your iPod. Company A charges $0.79 per song and Company B charges $0.99 per song.

tatuchka [14]

Let x = the number of songs you can buy.

If you use company A at 0.79 dollars per song, your variable is 0.79x. If you use company B at 0.99 dollars per song, your variable is 0.99x. You are going to set both equal to 30.

Company A: 0.79x = 30

Company B: 0.99x = 30

When solving (though I know you didn't ask), do note that you cannot buy part of a song so you would need to round down to the nearest whole number.

So if you use company A, you divide both sides by 0.79 to isolate the variable x and satisfy the division principle of equality:

x = 30/0.79.

Simplify and your answer is 37.97, round down to 37 songs; you'd have 37 songs with company A and 77 cents left over in your account just sitting there because what really can you do with 77 cents on the App Store?

5 0

4 years ago

1.Which are the equation and solution for the sentence, "Anumber, n, divided by

Assoli18 [71]

Answer:

1) B/ 0.4n = 12; n = 30

2) B/ 125 – x = 58

3) B/ $1.75

Step-by-step explanation:

1) 0.4n = 12

n = 12 ÷ 0.4

n = 30