A sequence is shown in the graph.
1 answer:
<h3>Answer: Choice C</h3>
Explanation:
Focus on the y coordinates. They are: 6, 3, 1.5, 0.75
Divide each by their previous term
- 3/6 = 0.5
- 1.5/3 = 0.5
- 0.75/1.5 = 0.5
We have a common ratio of r = 0.5
This proves we have a geometric sequence.
The starting term is a = 6
The nth term is which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)
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Answer: The first option is correct.
Explanation:
The given piecewise function is,
From the piecewise function we can say that if x<0, then
If , then
Since the f(x) is defined for x<0 and , therefore the function f(x) is not defined for
.
In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for , hence the first option is correct.