Answer:
y=-3log(3)(x+3)
Step-by-step explanation:
because the vertical asymptote at x=-3, the graph shifted to the left 3 units from x=0
y=A.log base(b)(x+3)
the graph passes through 2 points (-2,0) and (1,-3)
A=-2, b=0 and see if it fit point(0,-3)
-3 =-2log(0)(0+3) it is undefined check both sides if equal / not equal
check point (1,-3) ( shifted left 3 points)
A=-3, b=3
-3=-3log(3)(3) it is right
y=-3log(3)(x+3)
i hope it is right
Root (1,0)
Domain xER
Vertical interception (0, -1)
Hope this helps
Answer:
The series converges.
Step-by-step explanation:
According to the alternating series test:
For a series ∑(-1)ⁿ aₙ or ∑(-1)ⁿ⁺¹ aₙ
If lim(n→∞) aₙ = 0
and aₙ is decreasing,
then the series converges.
aₙ = n² / (n³ + 1)
Since the power of the numerator is less than the power of the denominator, lim(n→∞) aₙ = 0.
Since n² / (n³ + 1) > (n+1)² / ((n+1)³ + 1), the series is decreasing. (We could also prove this by showing that the derivative is negative.)
Therefore, the series converges.
Answer:
2x + 20
x= -10
Step-by-step explanation:
1st not similar
2nd similar
3rd not similar