Answer:
1) Exponential
2) Linear
3) None
4) Exponential
Step-by-step explanation:
We can make the table of each of the set of values and plot their graphs to determine what the function looks like.
- For linear function we will get a line.
- for quadratic function we will always obtain a parabola.
- for exponential function we will obtain a rapidly increasing or decreasing graph.
1)
x   y
-2 Â 21
-1 Â 4
0 Â 1
1 Â 0
Hence, we will get a exponential graph of the function.
2)
x   y
-2 Â -6
-1 Â Â -2
0 Â Â 2
1 Â Â 6
Hence, we will get a linear function this could also be seen that the function increases by a constant rate.( i.e. 4)
3)
x   y
-2 Â Â 12
-1 Â Â -2
0 Â Â -8
1 Â Â Â Â Â -6
From the graph we see that it does not lie in any of the categories.
4)
x   y
-2 Â Â 16
-1 Â Â 8
0 Â Â 4
1 Â Â Â Â Â 2
It will denote a exponential decay function as it decreases by a constant factor 1/2.
