Question

Which kind of function best models the set of data points (-1, 22), (0, 6), (1, -10), (2, -26), and (3, -42)?

linear
quadratic
exponential
none of the above

What kind of function best models the set of data points (-3, 18), (-2, 6), (-1, 2), (0, 11), and (1, 27)?
linear
quadratic
exponential
none of the above

Answer 1

1. Linear.
2. None of the above.
3. Exponential.
4. a = 25g + 100.

Answer 2

Answer with explanation:

1. The data points are (-1, 22), (0, 6), (1, -10), (2, -26), and (3, -42).

If you plot it on two dimensional plane, you will find that these points lie on a line.

Other method is to find slope between two points to justify whether function is linear or not

Slope between two points

`(22-6)/(-1-0)=(6+10)/(0-1)=(-10+26)/(1-2)=(-26+42)/(2-3)= -16`

is same.Justifying that function is linear.

Option A: Linear

2. Plotting these points on the number line

Observing that , it is in the shape of a Parabola,which is a Quadratic Function.

Equation of Quadratic Function = P x²+Q x +R

Option B: Quadratic