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

$\frac{22-6}{-1-0}=\frac{6+10}{0-1}=\frac{-10+26}{1-2}=\frac{-26+42}{2-3}= -16$

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