6.12 fraction equivalent
2 answers:
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Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .
(this is )
Then the function is:
For this case we have the following expression:
Applying distributive property to the terms within parentheses taking into account that:
We have:
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Thus, an equivalent expression is:
Answer:
