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klemol [59]
4 years ago
7

Which of the following functions is graphed below??

Mathematics
2 answers:
il63 [147K]4 years ago
6 0

Answer:

The required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

From the given graph it is clear that it is a piece-wise function because it is braked in two parts.

One part is defined for x≤2 and other part is defined for x>2 because left curve has closed circle at x=2 and right curve has open circle at x=2.

The y-intercept of the function is -3. From the given graph it is clear that the graph defined for x≤2 is a graph of cubic function that shifts 3 units down. So, the required function for x≤2.

f(x)=x^3-3

From the given graph it is clear that the right curve passes through the point (3,15) and moves towards (2,10).

The function f(x)=x^2+6 satisfied by both the points. So, the required function for x>2.

f(x)=x^2+6

Therefore the required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

stellarik [79]4 years ago
3 0
It should be B on my opinion
I hope this help you
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There are 43 pine trees currently in the park. Park workers will plant more pine trees
Luden [163]

Answer:

20 pine trees

Step-by-step explanation:

No of pine trees today = 63

No of pine trees there = 43

So no of pine trees planted today= 63-43= 20

8 0
2 years ago
Between with pair of numbers is the exact product of 379 and 8
VikaD [51]

Answer:


Step-by-step explanation:

379 is a prime number.  Only 2 numbers will divide into it. 1 and 379

So you could do this

379 * 8 = 3032

(379 * 2  ) * 4 = 758 * 4 = 3032

(379 * 4 ) * 2 = 1516 * 2 = 3032


7 0
3 years ago
The price of a radio was $20 it's on sale for $15 what is the percent of change in the price of a radio
Ierofanga [76]
Your answer is 25% <span> of change in the price of a radio</span>
8 0
3 years ago
Read 2 more answers
PLEASE HELP QUESTION ATTACHED
Bess [88]
Point S is the answer 

move -2.25 on the x axis and 2/3 on the y form the origin

3 0
3 years ago
(3 points) Blades of grass Suppose that the heights of blades of grass are Normally distributed and independent, with each heigh
NemiM [27]

The final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

\sum_{i =1}^{n}x_{i}  follows an approximately normal distribution with a mean n\mu and standard deviation \sqrt{n }\sigma

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

Y = \sum_{i =1}^{10}x_{i}

Distribution of Y is normal with,

Mean = \mu _{y}=10*4 = 40 and standard deviation = \sigma _{y}=\sqrt{10}*0.75 = 2.3717

a)

P( Y < 42.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

=NORMDIST( x, mean, SD , 1 )      

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 )  = 0.8541

b)

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

P( Y < 40.5 )  =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165  = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

To learn more about the normal distribution visit,

brainly.com/question/4079902

#SPJ4

5 0
1 year ago
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