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To solve this problem you must apply the proccedure shown below:
1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.
2. You have the equation of the line has the following form:
Where is the slope and
is the y-intercept.
3. Then, you have that the slope of the function is:
Therefore, the answer is:
Use a graphing tool and you'll see a circle form. This circle has a center of (0,0) and radius of 4. Side note: this equation is equivalent to x^2+y^2 = 16 after you divide everything by 4
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is![[-4,4]](https://tex.z-dn.net/?f=%5B-4%2C4%5D)
Similarly the range in interval notation is also <span> because the lowest you can go is y = -4. The highest you can go is y = 4</span>
Looking at the graph, the smallest x can be is -4. The largest x can be is 4. So the domain in interval notation is
Similarly the range in interval notation is also <span>