Write a rule for the linear function in the table. x
2
5
8
11
f(x)
5
11
17
23

f(x) = –2x – 1

f(x) = x + 1

f(x) = x + 5

f(x) = 2x + 1

(x)= 2, 5, 8, 11

Use the formula  

a n  =  a 1  +  d  ( n  −  1 )

to identify the arithmetic sequence.

a n  =  3 n  −  1

f(x)= 5, 11 17, 23

Use the formula  

a n  = a 1  +  d  ( n − 1 )

to identify the arithmetic sequence.

a n  =  6n  −  1

x      f(x)

2      5

5      11

8      17

11      23

Nothing further can be done with this topic. Please check the expression entered or try another topic.

2 ,   5 ,   8 ,   11  

5 ,   11 ,   17 ,   23

Step-by-step explanation:

Write a rule for the linear function in the table.

x;     f(x)

2      8

5     17

5      11

11    23

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

If all your solutions are  

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

None of the above will work with the data set you have presented.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.