Compare the y-intercepts and the rates of change of the following items.
2 answers:
Answer: The correct option is
(C) The y-intercepts are the same, but the rates of change are different.
Step-by-step explanation: We are given to compare the y-intercepts and the rates of change of the given items.
<u><em>For item I : </em></u>
The given equation of the line is in slope-intercept for, as follows :
So, the y-intercept of the line is -4 and the rate of change is given by the slope of the line, i.e., 2.
<em><u>For item II :</u></em>
We see that
at x = 0, the value of y is -4. So, the y-intercept of the linear function (a line) is -4.
Now, (-4, -6) and (-2, -5) are two points on the line, so the rate of change will be
Therefore, the y-intercepts are same but rate of changes are different.
Thus, (C) is the correct option.
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<h2>Hello!</h2>
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
<h2>Why?</h2>This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
So, the given functions are:
Then, composing the functions, we have:
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Answer:
Hope this is correct
Step-by-step explanation:
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