What is the domain of the function y=-720t + 3600 ?
1 answer:
Answer:
We conclude that:
Please also check the attached graph.
Step-by-step explanation:
Given
Given the function
To determine
What is the domain of the function y=-720t + 3600
We know that the domain of the function is the set of input argument values for which the function is real and defined.
Given the function
From the given function, it is clear that the function has no undefined points nor domain constraints.
Therefore, the domain of the function is
Thus, we conclude that:
Please also check the attached graph.
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A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.
is in the numerator. It is defined for every value of x. There is no problem there.
is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.
For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
Let's look at your function.
We set it equal to zero and solve the equation for x.
For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
