Mathematics, 25.06.2019 00:00 loveworld3798

For each question below, use the function f (x) = x3 a. on what interval(s) is this function negative? b. what is/are the roots of this function? c. what is the end behavior of this function?

Answers: 2

Show answers

Answers

Answer from: morkitus13

A. (-∞ , 0)

B. x = 0 triple root

C. The function tends to infinity

Step-by-step explanation:

For the function f(x) = x^3 we have:

Negative intervals:

(-∞ , 0)

The roots of this function is:

x = 0

The final behavior of this function tends toward infinity

A graphic is attached below

For each question below, use the function f (x) = x3 a. on what interval(s) is this function negativ

Answer from: nahimo

A. The function is negative on the interval (-∞, 0)

B. The only root is x = 0

C. The function approaches ∞ when x gets really large (goes towards ∞). The function approaches -∞ when x gets really small (goes towards -∞).

Step-by-step explanation:

The function given is f(x)=x^3

The graph is attached. Looking at the graph will make understanding the solutions easier.

We need to find the intervals that is divided by the roots of the function.

To find x-intercepts, we set f(x)=0

$f(x)=x^3\\0=x^3\\x=0$

*Looking at the graph, we can also see that x=0 is the only x-intercept*

Thus the intervals are from -∞ to 0 and from 0 to ∞

We take value in each interval to determine whether the function is negative or positive. If the answer is positive, function is increasing, if negative, the function is decreasing.

From -∞ to 0, we take x = -1

$f(-1)=(-1)^3\\=-1$

Hence it is decreasing

From 0 to ∞, we take x = 1

$f(1)=(1)^3\\=1$

Hence it is increasing

The function is negative on the interval (-∞, 0)

To find the roots, x-intercepts, we set f(x)=0

$f(x)=x^3\\0=x^3\\x=0$

The only root is x = 0

To find end behavior, we look at the graph.

The end behavior means what happens to the function when x goes to ∞ and -∞

Looking at the graph, the function approaches ∞ when x gets really large (goes towards ∞). The function approaches -∞ when x gets really small (goes towards -∞).

*Also, if you plug in large x values, f(x) goes towards infinity. If you plug in small x values, f(x) goes towards negative infinity*

Answer from: Quest

C. i believe it is (5×(-20))+(100×(0.7))
30 points! the steps to simplify the expression are shown below, with one step missing. which is th

Answer from: Quest

answer: the common difference is -0.10

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Will used 20 colored tiles to make a design in art class. 5/20 of his tiles were red. what is an equivalent fraction for the red tiles?

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Calculate the missing value. round the answer to on decimal place. start with 70, increase it by 21%, and end up with

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

With alll of except for the 2 that i did already

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

22. catie is starting a babysitting business. she spent $26 to make signs to advertise. she charges an initial fee of $5 and then $3 for each hour of service. write and solve an inequality to find the number of hours she will have to babysit to make a profit. interpret the solution.!

Answers: 1

Answer

You know the right answer?

For each question below, use the function f (x) = x3 a. on what interval(s) is this function negativ...

Questions