What are the domain and range of g(x) = -1/4 (x-17)^2 + 61?

kotegsom [21]

Answer:

My answer is 43 its that rigth

4 0

3 years ago

can some one help me with this iv been stuck for about a week and i need some help are these function why or why not? thanks!

FromTheMoon [43]

Answer:

1) f(x) is not a function

2) g(x) is a function.

Step-by-step explanation:

Function is defined as a relationship between the independent variable and the dependent variable

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of y is determined, then y is said to be a function of the independent variable

The above function can be represented by y = f(x). f(x) can also been represented g(x) and P(x) functions of the independent variable x, when the function is unknown or unspecified.

Two laws to become a function:

a) Every element in X is related to some element in Y.

This relationship is commonly symbolized as y = f(x). In addition to f(x), other abbreviated symbols such as g(x) and P(x) are often used to represent functions of the independent variable x, especially when the nature of the function is unknown or unspecified.

Two rules to become a function:

a)"Each element" means that every element in X is related to some element in Y.

But some elements of Y may not assigned to x

b) A function is assigned to a single value. It will not give back 2 or more elements for the same input.

One-to-many is unaccepted, while many-to-one is accepted

If the relationship does not satisfies those two rules then it is not a function. we can say that the given relationship not a function.

1) Let f(x) be the function

Given x is domain ie, $x=\{-2-3\}$ and y=f(x) ie, $y=\{2,3\}$ is the range of x

By the definition of function, f(x) does not satisfies the rules to be a function because f(-2)=2 and f(-2)=3 So it assigns two values.

Therefore f(x) is not a function

2) Let g(x) be the function

x is domain ie, $x=\{-2-1,0,1\}$ and y=g(x) ie, $y=\{2,2.5,3,3.5\}$ is the range of x

By the definition function, g(x) satisfies the rules to be a function because g(-2)=3 , g(-1)=3.5,g(0)=2 and g(1)=2 So it assigns exactly one value.

Therefore g(x) is a function.

3 0

3 years ago

Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv

professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

3 0

3 years ago

Anybody know the answer?

Dmitry_Shevchenko [17]

Answer:

<h2>Option B </h2>

Step-by-step explanation:

As,

It has shown that line c cuts line b by making 90° so those lines are called perpendicular bisectors .

Hence,