Question

Which kind of function best models the data in the table? Graph the data and write an equation to model the data. x y 0 –2 1 –3 2 –4 3 –5 4 –6 exponential; y = 3x – 2 quadratic; y = x2 – 2 linear; y = –x – 2 linear; y = x – 2

Answer 1

Let

A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)

using a graph tool

see the attached figure N 1

case a) exponential

$y=3^{x} -2$

see the attached figure N 2

case b) quadratic

$y=x^{2} -2$

see the attached figure N 3

case c) linear

$y=-x-2$

see the attached figure N 4

case d) linear

$y=x-2$

see the attached figure N 5

therefore

the answer is

the case c) linear

$y=-x-2$