Answer:
b. Exponential
Step-by-step explanation:
We are given the coordinates as the data set:
[tex]\bold{\{(-1, 0.5), (0, 1), (1, 2), (3, 8), (5, 32)\}}[/tex]
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'.
[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 0.5 \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 5 & 32\end{tabular}\end{center}[/tex]
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:
[tex](x, 2^x)[/tex]
i.e. [tex]y =2^x[/tex]
So, the exponential model best describes the data.
Correct answer is:
b. exponential
