The range of f is the set of all real numbers and the range of f would not change if the value of n is changed
<h3>The range of f when n = 5</h3>
The function is given as:
When n = 5, we have:
The domain of the function is:
x < 5 and x ≥ 5
This means that the domain is the set of all real numbers.
The function is a linear piece wise function, and the range of a linear function is the set of all real numbers.
Hence, the range of f is the set of all real numbers.
<h3>Does changing the value of n change the range?</h3>
As stated in (a) the range of a linear function is the set of all real numbers.
This means that irrespective of the value of n; the range would remain the same
Hence, the range of f would not change if the value of n is changed
Read more about piecewise functions at:
brainly.com/question/18859540
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Answer:
D. 0.857
Step-by-step explanation:
The coefficient of determination, R-squared, is simply the square of the correlation coefficient;
R-squared = r^2
R-squared = 0.926^2
R-squared = 0.857
Therefore, the coefficient of determination is 0.857.
1 over 100 is already simplified.
The perimeter is 166cm. Hope I was able to help
1) To find the inverse of the function
, we are going to interchange
and
, and then we are going to solve for
as follows:
In this case our inverse is a parabola; since all parabolas are functions, our inverse is indeed a function.
2) To find the inverse of our function
we are going to follow the exact same procedure as before; we'll interchange
and
and solve for
:
Since we are taking square root, we will end with tow results: a positive and a negative one. So, our function will have tow inverses:
and
.
Notice that our original function
is a quadratic function and by the horizontal line test (picture1), quadratic functions don't have inverse functions unless you restrict the domain. Since there is no restriction in the domain of our original function,
its inverse is not a function.
