All categories

2 years ago

What is the end behavior of the following Polynomial ? P(x)=-3x^4+3x-2 *

Mathematics

1 answer:

dangina [55]2 years ago

7 0

Answer:

up, down

Step-by-step explanation:

$p(x) = - 3 {x}^{4} + 3x - 2$

It is an even-degree polynomial. Therefore, the start of domain is the opposite the end of domain.

Meaning if the graph starts by decreasing, the graph will end by increasing.

Because the coefficient of highest degree is in negative. Therefore, the graph starts from negative infinity, increasing. The graph will end in positive infinity but decreasing.

Therefore, the answer is first choice.

You might be interested in

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x

OleMash [197]

ANSWER

$x=1.39$ to the nearest hundredth.

EXPLANATION

We have the equation,

$0=2x^2+3x-8$

Which can be rewritten as

$2x^2+3x-8=0$

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

$ax^2+bx+c=0$

$a=2,b=3,c=-8$

The quadratic formula is given by;

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We now substitute all the values in to the formula;

$x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}$

We simplify to obtain;

$x=\frac{-3\pm\sqrt{9+64}}{4}$

$x=\frac{-3\pm\sqrt{73}}{4}$

We now split the plus or minus sign to obtain;

$x=\frac{-3-\sqrt{73}}{4}$

This implies that;

$x=-2.89$

$x=\frac{-3+\sqrt{73}}{4}$

This will evaluate to;

$x=1.39$

Hence, the positive solution rounded to the nearest hundredth is

$x \approx 1.39$

6 0

3 years ago

Read 3 more answers

Parker went shopping for a new pair of sneakers. Sales tax where he lives is 5%. The price of the pair of sneakers is $23. Find

Elina [12.6K]

23 x 5% =

23 x 0.05= 1.15 (total sales tax)

23 + 1.15= $24.15 (total price)

5 0

2 years ago

Read 2 more answers

1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest

PIT_PIT [208]

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

3 0

2 years ago

How do you solve d+12=2 using mental math

n200080 [17]

By minusing 12 to both sides
d+12=2
-12=-12
d =-10

5 0

3 years ago

Help you will get brainliest

victus00 [196]

Answer:

4.25

Step-by-step explanation:

7 0

3 years ago