2. Which polynomial function gets larger and larger in the negative direction as x gets

larger and larger in the negative direction?

a. f(x) = 5x2 – 2x + 1

b. f(x) = 6x3 + 4x2 – 15x + 32

c. f(x) = 7x4 – 2x3 + 3x2 + 8x – 10

d. f(x) = 8x6 + 1

We want to see which polynomial function gets larger and larger as the variable increases in the negative direction. We will see that the correct option is d: f(x) = 8x^6 + 1

Here you need to remember two things.

As the larger the exponent is, the faster the polynomial grows.

When we evaluate a negative number in an even exponent, the outcome is always positive.

Then the polynomials that get larger and larger as x increases in the negative direction are all the polynomials with a even leading exponent, particularly, the one that increases faster is the one with the largest leading exponent, which is:

d. f(x) = 8x^6 + 1

If you want to learn more, you can read:

link

Given:

x gets  larger and larger in the negative direction.

To find:

The polynomial function which gets larger and larger in the negative direction.

Solution:

In options a, c and d, degree of polynomials are even and leading coefficient is positive. So,

In option b, degree of polynomial is odd and leading coefficient is positive. So,

Therefore, the function in option b, gets larger and larger in the negative direction as x gets  larger and larger in the negative direction.

Hence, the correct option is b.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.