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2 years ago

Which graph has the same end behavior as the graph of f(x) = –3x^3 – x^2 + 1?

Mathematics

1 answer:

ololo11 [35]2 years ago

4 0

To find out end behavior, we always look at the largest exponent (3 in this case) and the sign of the term with the largest exponent (negative in this case). We can rule out the first two choices because since it is a cubic graph (exponent of 3) the graph will be pointing in opposite directions. Then, the negative tells us that as the x values approache infinity, the y values will approach negative infinity. So the correct answer is the last choice.

Hope this helps

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What is the equation of the graph below? On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum

bogdanovich [222]

Answer:

y=cos(x+π)

Step-by-step explanation:

Known that the cosine function has a period of 2π.

Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.

Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.

Therefore, the function that belongs to this graph is

$y=cos(x + \pi)$

6 0

2 years ago

The histogram shows the number of vacation days taken by employees in the past year. Based on the histogram, which statement is

Serhud [2]

The correct answer is b

8 0

1 year ago

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between cit

Cloud [144]

54 is the hypotenuse because it is the longest side. Square all of the sides. So 54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two and they will be greater than 2916. Because of that, you will have an acute triangle because 22^2+51^2>54^2
In short, its B

7 0

2 years ago

Read 2 more answers

Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.

alexgriva [62]

Recall that

$|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

There are three cases to consider:

(1) When $x+2$ , we have $|x+2|=-(x+2)$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4$

(2) When $x+2\ge0$ and $x-2$ , we get $|x+2|=x+2$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)+(x+2)=4$

(3) When $x-2\ge0$ , we have $|x+2|=x+2$ and $|x-2|=x-2$ , so

$|x-2|+|x+2|=(x-2)+(x+2)=2x$

So

$|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x$

4 0

1 year ago

It takes 45 minutes to drive to the nearest bowling alley taking city streets going

Savatey [412]

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

7 0

2 years ago