Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
2 answers:
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 21
-1 4
0 1
1 0
Hence, we will get a exponential graph of the function.
2)
x y
-2 -6
-1 -2
0 2
1 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 12
-1 -2
0 -8
1 -6
From the graph we see that it does not lie in any of the categories.
4)
x y
-2 16
-1 8
0 4
1 2
It will denote a exponential decay function as it decreases by a constant factor 1/2.
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Using it's concept, the rate of change between point C and point D is of 2.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:
Considering the points of the given linear function, we have that:
- Point C: f(1) = 2.
- Point D: f(2) = 4.
Hence the rate of change between point C and point D is given by:
r = (4 - 2)/(2 - 1) = 2.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Answer:
Step-by-step explanation:
