Question

Write a rule for the linear function in the table.

x
f(x)
1
–7
2
–10
3
–13
4
–16

Answer 1

\(\large \begin{array}{llll}
x\qquad &y=f(x)\\
\hline\\
1&-7\\
2&-10\implies -7-3\\
3&-13\implies -10-3\\
4&-16\implies -13-3
\end{array}\)

what do you think?

Answer 2

thank you

Answer 3

-7,-10,-13,-16,
it is an A.P.
here a=-7,d=-10-(-7)=-10+7=-3
tn=a+(n-1)d
tn=-7+(n-1)(-3)=-7-3n+3=-3n-4
Replace n by x and tn by y
y=-3x-4,x=1,2,3,...

Answer 4

correction write f(x) for y