Question

Determine whether each set of data represents a linear, an exponential, or a quadratic function.

Answer 1

See below ↓↓↓↓

Explanation:

Set 1

`\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right]`

⇒ Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]

Set 2

`\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right]`

⇒ y = 5x - 9

⇒ Linear

Set 3

`\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right]`

⇒ Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]

Set 4

`\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right]`

⇒ Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]