Determine the graph of the sinusoid with amplitude of 4 and period of 2pi/3.
2 answers:
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<u>Given</u>:
The given geometric sequence is 128, 32, 8
We need to determine the next term of the geometric sequence.
<u>Common ratio:</u>
Since, it is given that the sequence is a geometric sequence, then the common ratio is given by
Thus, the common ratio is
<u>Next term:</u>
The next term of the sequence can be determined by multiplying the previous term with the common ratio.
Thus, we have;
Next term =
= 2
Thus, the next term is 2.
Hence, the next term of the geometric sequence is 2.
Answer:
Given the function: .....[1]
An exponential function is in the form of .
- If
and b <1, then the graph is increasing
- If a< 0 and b >1 , then the graph is decreasing.
- If a> 0 and b<1, the the graph is decreasing.
- if a< 0 and b > 1. then the graph is increasing.
From the given equation [1] we have;
Here, a = -2 < 0 and b = 3 > 1.
For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.
y-intercept states that the graph crosses the y-axis.
Substitute value of x =0 in [1] to solve for y;
y = -2
y-intercept = (0, -2)
End Behavior of the given graph :
If , then
and
If , then
Also, You can see the graph as shown below in the attachment.
At the 2/8 part, just use the quadratic formula. If you use it, you should get the other two zeroes: