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vlabodo [156]
2 years ago
8

4. The following set of points belong to a specific function: {(-3,0)(-2,4), (-1,0 ), (0,-6),(1,-8), (2,0),(3,24)} Based on the

set of points answers the following questions:
a) What type of function does the set of points produce? Justify your answer.
b) Write an equation for this function based on the set of points that have been given.
Mathematics
1 answer:
notsponge [240]2 years ago
6 0

The type of function that these sets of points are known to produce is the cubic function.

<h3>What is a cubic function?</h3>

This is a function that is known to be a polynomial of degree 3. This type of polynomial is one that the coefficients are known to be complex numbers.

This is a cubic function given that the x axis is known to go through these points (-3,0), (-1,0), (2,0).

b. Given the sets of pints that we have, we have the equation

f(x) = a(x+3)(x+1)(x-2)

Such that

f = -2 =

4 = a x 1 x -1 x -4

4 = 4a

a = 1

Read more on functions here:

brainly.com/question/2833285

#SPJ1

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The vertex of  f ( x )  is at  x  =  − 8/ 2   =  − 4

3 0
3 years ago
As the office purchasing manager you have to buy printer paper. Your last
bixtya [17]

Answer:

a/1/$400

Step-by-step explanation:

240 divided by 12=20

20x10x2=$400

3 0
2 years ago
How many shapes would I have on term 104?​
pishuonlain [190]

Answer:

313 shapes

Step-by-step explanation:

The nth term is 3n+1

so 3x104=312+1= 313 shapes

4 0
2 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
2 years ago
Read 2 more answers
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
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