Hey, can anyone help me out ASAP!! Will give Brainliest!! Fairly easy geometry, multiple choice!!
2 answers:
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Answer:
Step-by-step explanation:
We can rewrite the equation as
Notice that we have in both the numerator and the denominator, so it looks like we can divide it out. However, what if
is
? Then we would have
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at . In the simplified version of the function, if we plug in
, we get
So the point is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of
The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be:
<em><u>Explanation</u></em>
In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.
If represents the year and
represents the number of students, then two points in form of
will be:
and
So, the rate of change or slope = (change in value of y / change in value of x)
Now, plugging slope = 20 and first point
into <u>point slope form of linear equation</u>
, we will get.....