Question

This table displays x-values and their corresponding y-values.
x-values y-values
1 2
2 5
3 10
4 17
5 26
Which algebraic model best represents the dataset on the xy
-chart?

Option #1: f(x)=x2+1
. This is a quadratic function.

Option #2: f(x)=2x2
. This is a linear function.

Option #3: f(x)=2x
. This is an exponential function.

(1 point)
Option #
is the correct response.

Answer 1

Option #1.

Because f(x) = x^2 + 1 gives 1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26, matching all table values.