The second termn in a geometric sequence is 20. The fourth termn in the same sequense is 45/4, or 11.225. What is the common rat
2 answers:
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Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the linear function
where
- m is the slope
- b is the y-intercept
The graph of y = mx + b is a straight line. Thus, y = mx + b represents a linear function.
<u>Analzing the function y = –x + 5</u>
Given the linear function
y = –x + 5
comparing with the slope-intercept form of linear equation
The slope m = -1
The y-intercept b = 5
Also, the graph of a linear function is a straight line.
Thus,
The function y = –x + 5 represents a linear function.
<u>Analzing the Table Function </u>
x 0 1 2 3
y 0 1 8 27
In order to identify whether the given table represents the linear function or not, we need to make sure the given function has a constant change x and y.
If there is a constant change in x and y, then it would be a linear Function otherwise it would not represent a linear function.
There is a constant change in x values.
i.e.
1 - 0 = 1
2 - 1 = 1
3 - 2 = 1
But, there is NOT a constant change in y.
i.e.
1 - 0 = 0
8 - 1 = 7
27 - 8 = 19
It is clear that the table does not have a constant change in y-values.
Therefore, the table function does not represent the linear function
Answer:
The domain of the transformed function is:
[0,∞)
Step-by-step explanation:
We know that the domain of a function is the set of all possible values where the function is defined i.e. the possible x-values.
Now we are given a parent function f(x) as:
Now, it is given that the function f(x) is transformed three units downward.
So, the resulting function g(x) is given as:
Hence, the function g(x) is defined for all x≥0.
( Since, the square root function is not defined for negative real numbers and for rest values it is defined)
Hence, the domain is given as:
[0,∞)