Question

Graph the data in the table below. Which kind of function best

models the data? Write an equation to model the data. Please help ASAP

Answer 1

C

Explanation:

Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.

Answer 2

C

Explanation:

Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.

Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.

Therefore, the only relation that follows the values of the table is

`y=2.5x^(2)`

Let's evalue each x-value

`y=2.5(-2)^(2) =2.5(4)=10\\y=2.5(-1)^(2)=2.5(1)=2.5\\ y=2.5(0)^(2)=2.5(0)=0\\y=2.5(1)^(2)=2.5\\y=2.5(2)^(2)=10`

Therefore, the right answer is C. The given values show a quadratic relation.

A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.