Mathematics College

What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down

Answers

Answer 1

Answer:

A. F(x)is an even function so both ends of the graph go in the same direction.

D. The leading coefficient is negative so the left end of the graph goes down.

Step-by-step explanation:

Even function:

For every value of x, f(x) = f(-x)

In this question:

We are given the following function:

[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]

Testing if it is even:

[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]

[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]

Since f(1) = f(-1), it is even.

Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.

Options C and D:

The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.

Related Questions

Jamil's car uses , gallons of gasoline to travel 49 miles. At this rate how far can
Jamil's car travel per gallon of gasoline?
A 53
miles
230 miles
12 miles
D 10.5 miles

Answers

Answer:

D) 10.5

Step-by-step explanation:

4 2/3 = 14/3

Ratios:

[tex]\frac{14/3}{49} =\frac{1}{x } \\\\\frac{14}{3} x=49\\\\14x=147\\x=10.5[/tex]

Help me please. I need it rn

Answers

Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.

Answers

Answer:

87.2

Step-by-step explanation:

Add them all up and divide by how many scores.

The corner store sells one of its magazines for $ 6.75 including tax. On one weekend the store collected $ 114.75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?

6.75÷114.75=n
6.75÷n = 114.75
6.75n=114.75
6.75 + n= 114.75

Answers

9514 1404 393

Answer:

Step-by-step explanation:

If one magazine sells for 6.75, then n magazines will sell for a total of 6.75n. That total is said to be 114.75, so we have ...

6.75n = 114.75

The recipe makes 1 serving of punch. Sam used 2 cups of pineapple juice to make her punch, how many servings did she make? Use the equation 2/3m = 2 to find the number of servings.

2/3 cup = Pineapple juice
1/2 cup = orange juice
3/4 cup = Lemon/lime juice
1/3 cup = Ginger ale

Answers

Answer: 3 servings

Step-by-step explanation:

Sam used 2 cups of pineapple juice, one serving just needs 2/3 cups of pineapple. 2 divided by 2/3 equals 3 so, Sam made three servings. (in this case 1/2 cup orange juice 3/4 cup Lemon/lime juice 1/3 cup Ginger ale does not matter, you only need to know the pineapple juice.

Make x the subject of the formula
х
+12c = 5d
63

Answers

x=5db^3-2cb^3
Workup in photo below.
Good luck

what numbers multiply to give 100 and when summed up give 25................................

Answers

It’s 3 times 25 plus 74

Find the area of this LEVEL 1 shape

Answers

Answer:

[tex]46 cm^{2}[/tex]

Step-by-step explanation:

Split the shape into two like in the picture shown below. Then, you can find the area of the two shapes separately, and then add them together the two area together. So by following the picture I below, you would do:

[tex]5*2=10\\6*6=36\\10+36=46[/tex]

Please help im running out of time:(

One train is traveling 120 m with a velocity of 52 km/h and a
second train is traveling in the opposite direction with a
velocity of 20 km/h. How long will it take for them to
completely pass one another?

Answers

Answer: It took the train 11 s to completely pass the other.

11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.

What is distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

One train is travelling 120 m with a velocity of 52 km/h.

A second train is travelling in the opposite direction with a velocity of 20 km/h.

Here, the length of the second train is not given:

We are assuming the length is 100 m

Relative velocity = 52+20 = 72 km/h = 20 meter/seconds

Total distance: = 120 + 100 = 220 m

The time = 220/20 = 11 seconds

Thus, 11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

The volume of a sphere depends on its radius, so the volume is a function of the radius. If this function is called V(r), use the formula below to compute V(4), the volume of a sphere with a radius of 4 units.

Answers

Answer:

the volume of a sphere with a radius of 4 units.

=4/3πr³=4/3×π×64 is your answer

In the photo, are these 2 answers the same thing?

Answers

i’m gonna guess no? sorry if i got it wrong

What is the measure of Q?

Answers

Answer:

<Q = 30

Step-by-step explanation:

2x + 70 + x - 10 = 180

3x + 60 = 180

3x = 120

x = 40

x - 10

40 - 10

<Q = 30 because of vertical angles

The measure is 30 good luck!!!!! Hope it’s right

2p – 194.99 = 284.97

Answers

If solving for p, it is 239.98 bc when 284.97+194.99, 2p=479.96

Evaluate:

6(5 – z) + 2z

Answers

Answer:

30 - 4z

Step-by-step explanation:

6(5 – z) + 2z

(Multiply 6 by each term in the brackets)

6(5) - 6(z) + 2z

30 - 6z + 2z

(add 'like' terms)

30 -4z

A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?

Answers

It will be worth $10,518.75

Whats is -100+500 you get it ok

Answers

Answer:

400 pick mine as Brainlest

Step-by-step explanation:

Answer:

It is 400

Step-by-step explanation:

If you reverse it to make it easier on yourself.

500-100 =400

Don uses a funnel to pour oil into his car engine. The funnel has a radius of 6 cm and a slant height of 10 cm. How much oil, to the nearest cubic centimeter, will the funnel hold.

Answers

This funnel will hold approximately 2387.61 the volume of oil that the funnel can hold is approximately 2387.61 ?

Please help me solve 8=11x+2

Answers

Answer:

6/11

Step-by-step explanation:

What two numbers make on thousand

Answers

Answer:

500 and 500

Step-by-step explanation:

I don't know how to do this. Any help?

Answers

Answer:

cos 37=x/b (second one)

sin 37= a/b (third one)

tan 37=a/x (sixth one)

Step-by-step explanation:

Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

Jamal and Brianna each bought 3 oranges. They sliced each orange into 6 pieces. How many oranges slices did Jamal Brianna have altogether?

Answers

Answer:The Answer is 18

Step-by-step explanation:if you have 3 oranges and each orange is sliced into 6 pieces each you multiply 3 by 6 and you get 18 and how you get 18 is you can add 6 three different times. :)

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?
A. (x, y) ---> (x, -y)
B. (x, y) ---> (x, y + 8)
C. (x, y) ---> (-y, x)
D. (x, y) ---> (-x, y)

Answers

Answer: ITS (A) (x, y) → (x, −y)

Step-by-step explanation:

Find the surface area of the prism.

Answers

Answer:

386

Step-by-step explanation:

Which expression is equal to 1/6? *

Answers

Answer:

I think that 1÷6 as the same as 1/6

I'll give points + brainalist please help this is a finals test and I'm on a time limit (:

Answers

My guess would be 130 but I have no idea

Which expression is equivalent to ?

Answers

Answer:

It's B or C, I can't see it clearly sorry!

Step-by-step explanation:

What is the circumference of a circle having a radius of 56 mm

Answers

Answer:

The circumference is 351.68 millimeters or 352 millimeters.

Step-by-step explanation:

The formula to find the circumference of circle is 2 * pi * radius.

Applying Circumference Formula: 2 * 3.14 * 56 = 351.68 millimeters.

If you need to round to the nearest hundredth, the answer would be

352 millimeters.

I think this is correct, please don't hate me if I'm wrong. ;D

interval of [0⁰,360⁰]

3 sin² tan 0-3 sin²0 = 0

20 points

Answers

Answer:

θ=41.3∘,138.7∘,221.3∘,318.7∘ Explanation: 3sin2θ−10(1−2sin2θ)=0 23sin2θ−10=0 s

Step-by-step explanation:

Find the value of x.

Answers

answer: x=66
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66

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