All categories

1 year ago

Describe the end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits.

Mathematics

1 answer:

Hitman42 [59]1 year ago

4 0

The end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits is as x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝

<h3>How to determine the end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits?</h3>

The equation of the function is given as:

f(x) = x^3(x + 3)(–5x + 1)

Using limits, we have:

As x approaches positive infinity, the function becomes

f(∝) = (∝)^3(∝ + 3)(–5(∝) + 1)

Evaluate the products and exponents

f(∝) = (∝)(∝)(–∝ + 1)

Evaluate the difference

f(∝) = (∝)(∝)(–∝)

Evaluate the product

f(∝) = -∝

This means that as x ⇒ ∝, f(x) ⇒ -∝

Using limits, we have:

As x approaches negative infinity, the function becomes

f(-∝) = (-∝)^3(-∝ + 3)(–5(-∝) + 1)

Evaluate the products and exponents

f(-∝) = (-∝)(-∝)(∝ + 1)

Evaluate the sum

f(-∝) = (-∝)(-∝)(∝)

Evaluate the product

f(-∝) = ∝

This means that as x ⇒ -∝, f(x) ⇒ ∝

Hence, the end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits is as x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝

You might be interested in

PLEASE HELP TIMED QUIZ

Karo-lina-s [1.5K]

Answer:

Randomly scattered meaning

D) A correlation of approximately 0

Hope this helps!

4 0

2 years ago

The mean of the Normal distribution determines the ___________ of the distribution. Please complete the sentence by selecting on

tamaranim1 [39]

Step-by-step explanation:

location

of the distribution.

5 0

1 year ago

What is it? Please help

blondinia [14]

Answer:

a math problem lol

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A. 23.3 cm<br><br><br> B. 16 cm<br><br><br> C. 8 cm

Hitman42 [59]

B. 16 cm

Square both 20 and 12

20x20=400

12x12=144

400-144=256

find the square root of 256
and the square root is 16

so b is 16 cm

6 0

2 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

SOVA2 [1]

For this case we have a function of the form:

$y = A * (b) ^ x$

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

$b = 2$

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

$2 = A * (2) ^ 1$

Clearing A we have:

$2 = A * 2$

$A = \frac{2}{2}\\A = 1$

Then, the function is given by:

$y = 1 * (2) ^ x$

For after 9 hours we have:

$y = 1 * (2) ^ 9\\y = 512$

Answer:

the diameter of the bacteria after 9 hours is:

$y = 512$

6 0

2 years ago