Question

1.) write a function rule that represents d less than five is p.

A.) p=5-d
B.) p=d-5
C.) d=5-p
D.) d=p-5

2.)what is the value of the range of the function f(x) = 2x^2 - 3x + 8 for the domain value of 3?

A.)5
B.)8
C.)17
D.)35

3.)is the relation below a function, if so state its domain.
{(0,2)(2,4)(1,7)(2,5)}

A.) this relation is not a function
B.) this relation is a function, the domain is {0,1,2}
C.) this relation is a function, the domain is {2,4,5,7}
D.) this relation is a function, the domain is {0,1,2,4,5,7}

4.)what are the next two terms of the following sequence? 1,5,9......

A.)27,211
B.)10,11
C.)12,15
D.)13,17

5.)what is the common difference of the following arithmetic sequence?
102,100,98,96....

A.)2
B.)-2
C.)1
D.)102

6.)what is the ninth term of the arithmetic sequence defined the rule below?
A(n) = -14 + (n-1)(2)

A.)232
B.)230
C.)2
D.)4

7.)which function below represents the arithmetic sequence? 3,7,11,15,.....

A.)f(n)=4+3(n-1)
B.)f(n)=4+3n
C.)f(n)=3+4n
D.)f(n)=3+4(n-1)

Answer 1

Lesson 3: Sequences and Functions

1.) Write a function rule that represents d less than five is p.

A.) p=5-d

2.) What is the value of the range of the function f(x) = 2x^2 - 3x + 8 for the domain value of 3?

C.)17

3.)is the relation below a function, if so state its domain.

{(0,2)(2,4)(1,7)(2,5)}

A.) This relation is not a function

4.)what are the next two terms of the following sequence? 1,5,9......

D.) 13,17

5.)what is the common difference of the following arithmetic sequence?

102,100,98,96....

B.)-2

6.)what is the ninth term of the arithmetic sequence defined the rule below?

A(n) = -14 + (n-1)(2)  

C.)2

7.)Which function below represents the arithmetic sequence? 3,7,11,15,.....

D.)f(n)=3+4(n-1)

Answer 2

Applying function and arithmetic sequence concepts, we have that:

1) B.) p=d-5

2) C.)17

3) A.) this relation is not a function.

4) D.)13,17

5) B.)-2

6) C.)2

7) $f(n) = 3 + 4(n - 1)$, option D.

Item 1:

• d less than five, is d subtracted by 5, that is, d - 5.

• Equal to p, so $p = d - 5$, option b.

Item 2:

• The range is f(3), so:

$f(3) = 2(3)^2 - 3(3) + 8 = 18 - 9 + 8 = 17$

Option C.

Item 3:

• Input 2 has two correspondent outputs, so not a function, option A.

Item 4:

• Each term is the previous term added by 4, thus, 13,17, option D.

Item 5:

• The common difference is the difference between consecutive terms, so $96 - 98 = 98 - 100 = 100 - 102 = -2$, option B.

Item 6:

• Ninth term is a(9), thus:

$a(9) = -14 + (9 - 1)(2) = -14 + 16 = 2$

Option C.

Item 7:

• First term is $f(1) = 3$, common difference of 4, thus:

$f(n) = 3 + 4(n - 1)$

A similar problem is given at https://brainly.com/question/13094243