129931 Rounded to the nearest thousand
1 answer:
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Answer:
"4" represents that there are 4 rabbit in the beginning.
Step-by-step explanation:
Given that the population of a species of rabbit triples every year. This
can be modeled by function and
.
Now we need to find about what does the 4 represent in the given function.
We know that exponential function is given by . Where "a" represents the initial amount.
we have a=4 in given function .
So that means "4" represents that there are 4 rabbit in the beginning.
The intercepts of the graph are:
x-axis interception: .
y-axis interception: .
See the graph of the function in the attached image.
<h3>Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
- Determine the points
Replace these x-values in the given equation. For example:
When x=-4, we will have: . Do this for the all x-values of your ranges.
See the results for this step in the attached table.
- Draw the graph
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>Find the x- and y-intercepts</h3>The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are: .
y-axis interception point (x=0) is: .
Learn more about intercepts of the graph here:
