Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry
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1 answer:
Answer:
see below
Step-by-step explanation:
Clearly, if you turn the figure sideways or upside down (rotate 90° or 180°), you do not have the same figure. It has no rotational symmetry.
However, if you reverse it left-to-right, you get exactly the same figure. So, it has line symmetry about a vertical center line.
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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, -∞)
