Piecewise Function is like multiple functions with a speific/given domain in one set, or three in one for easier understanding, perhaps.
To evaluate the function, we have to check which value to evalue and which domain is fit or perfect for the three functions.
Since we want to evaluate x = -8 and x = 4. That means x^2 cannot be used because the given domain is less than -8 and 4. For the cube root of x, the domain is given from -8 to 1. That meand we can substitute x = -8 in the cube root function because the cube root contains -8 in domain but can't substitute x = 4 in since it doesn't contain 4 in domain.
Last is the constant function where x ≥ 1. We can substitute x = 4 because it is contained in domain.
Therefore:
The nth root of a can contain negative number only if n is an odd number.
Answer
Answer:
44 blue and 52 green
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
a^2+b^2=c^2
Answer:
One solution.
Step-by-step explanation:
We have been given an equation . We are asked to find the number of solutions for our given equation.
Let us solve our given equation. Upon combining like terms, we will get:
Therefore, our given equation has only one solution.
The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
<h3>What is mean value theorem?</h3>
Mean value theorem is the theorem which is used to find the behavior of a function.
The function given as,
The value of function at 0,
Differentiate the given equation,
If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,
Using Lagrange's mean value theorem,
Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.
Learn more about the mean value theorem here;
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