Graph the data set. {(-1, 0.5), (0, 1), (1, 2), (3, 8), 5, 32)}
Which kind of model best describes the data?

a. quadratic
b. exponential
c. linear
d. cubic

b. Exponential

Step-by-step explanation:

We are given the coordinates as the data set:

First of all, let us plot the given coordinates on the xy coordinate axis.

Let us have a look at the values of x and y first.

A pair is represented as (x, y) i.e. first value is of 'x' and the second value is of 'y'.

If we plot them on the graph, we get the graph as the image attached in the answer area.

Let us join the coordinates using a curve.

If we closely look at the graph, there is a sudden increase with increasing value of 'x'.

Actually the increase is exponential.

Observing the given coordinates, we can see that they are in the form:

i.e.

So, the exponential model best describes the data.

Correct answer is:

b. exponential

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