Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5
comma negative 1 close. Identify and correct Lonzell’s error.
1 answer:
Answer:
The positive graph is on the points (-5,-4) and (2,5)
And, negative would be (-4,2)
Step-by-step explanation:
As it seems that fgraph shows positive in the case when it is over x-axis, and negative when it is below y-axis
As on the interval (-1,5)
The graph is below x-axis i.e. on (-1,2)
And, over x-axis i.e. on (2,5)
At this point Lonzell’s is not correct
As on the interval (-5,-1)
The graph is below x-axis i.e. on (-4,-1)
And, over x-axis i.e. on (-5,4)
At this point Lonzell’s is not correct
So,
The positive graph is on the points (-5,-4) and (2,5)
And, negative would be (-4,2)
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Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is: