What is the volume of a sphere with a radius of 2 feet
1 answer:
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Answer:
The function is
domain is 0 to 0.2 hour.
range is 0 to 2 miles.
Step-by-step explanation:
Given that,
Average velocity = 10 miles/hour
Time = 12 min = 0.2 hour
We need to write a function that models the student's distance from home
Using formula of distance
Where, v = velocity
t = time
d = distance
Put the value into the formula
This is a function.
We know that,
Domain :
Domain shows the time.
So, domain = 0 to 0.2 hour
Range :
Range shows the distance.
The range at t =0,
Put the value of t in the function
The range at t =0.2 hour
So. range = 0 to 2 miles
Hence, The function is
domain is 0 to 0.2 hour
range is 0 to 2 miles
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:
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