Jamie lost 27 pounds in 1 year . on avarage how many pounds did jamie lose per month
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Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
For this case we must factor the following polynomial:
We can take common factor x:
To factor the expression within the parenthesis, we must find two numbers that when multiplied give 49 and when added together, 14 are obtained. These are: 7 and 7.
Thus, the expression is factored as:
Answer: