The map shows the location of four places in a city Jade's house is in the same quadrant as the museum which of the following co
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In a right-triangle, if either of the other two angles are "half that measure", or half of 90°, that means 45°, then the last angle will also have to be a 45° one too, and the sides coming from the 90° angle, will be equal twins, and therefore they can only make up one type-length hypotenuse, and due to that, you can only make that one triangle. Check picture below.
Each piece of this function is continuous on its respective domain (because all polynomials are continuous functions), meaning
• 2 - x exists for all x < -1
• x exists for all -1 ≤ x < 1
• (x - 1)² exists for all x ≥ 1
So this really just leaves the points where the pieces are split up, i.e. x = -1 and x = 1. At both of these points, the two-sided limit exists as long as the one-side limits from both sides exist and are equal to one another.
At x = -1, as I said in my comment, you have
while
But -1 ≠ 3, so the two-sided limit
does not exist. So a = -1 is one of the points you would list.
At x = 1, we have
while
and again the one-sided limits don't match, so this two-sided limit also does not exist, making a = 1 the other answer.