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.
Answer: 0.9
Step-by-step explanation:
<u>Let x be the number</u>
<u>Determine the value of the number</u>
x² = 81
√x² = √81
x = 9
<u>Find the 10% of the number</u>
Final number = rate of percentage × original number
Final number = 10% × 9
Final number =
Hope this helps!! :)
Please let me know if you have any questions
Answer:
1.2 as a percent is 120%.
Step-by-step explanation:
To change a decimal to a percent, multiply the decimal by 100
Answer:
144°
Step-by-step explanation:
m<1 =3x
m< 2= 12x
1&2 are supplementary angles, so
3x+12x= 180
15x=180
x= 12°
measure of angle 4 equals the measure of angle 2
because they're head opposite angles
m<4= 144°