Answer:4.5
Step-by-step explanation:
(-4,6]
(0,11]
[-4,6)
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
P = 2L + 2W
Answer:
The answer is
Step-by-step explanation:
In order to solve for L, we have to free the L variable.
Mathematically, we have to subtract, add, multiply or divide the same terms from each side of the equation. In that way, we can change the equation and free a variable.
Therefore, we have to subtract 2*W term, and then we have to divide by 2.
So,
Finally, the expression for L is
Problem 1
The end behavior of y = 8x^4 is:
In either case, y approaches positive infinity. This end behavior is the same as a parabola that opens upward. This applies to any even degree polynomial.
Informally we can describe the end behavior as: "Both endpoints rise up forever".
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Problem 2
The end behavior of y = -49 + 5x^4 + 3x is the exact same as problem 1. Why? Because the degree here is 4. The degree is the largest exponent.
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Problem 3
For this problem we have the polynomial y = -x^5 + 5x^4 + 5
This time the degree is 5, which is an odd number.
The end behavior would be
Informally, we can state the end behavior as "Rises to the left, falls to the right".
The endpoints go in opposite directions whenever the degree of the polynomial is odd. Think of a cubic graph. The "falls to the right" is due to the negative leading coefficient.
I strongly recommend using a TI83, TI84, Desmos, or GeoGebra to graph out each polynomial so you can see what the end behavior is doing.