Josh is preparing for an exam by completing practice tests that have different numbers of questions. For each practice test, he
notes the number of questions and the time it takes him to complete the test.
Next, Josh creates a scatter plot and draws a trend line to fit the data. To see how well the trend line represents the data, Josh draws black lines to represent the distance each data point lies away from the trend line.
What is the sum of the residuals for all the points?
A. 97
B. 19
C. 39
D. 58
Next, Josh creates a scatter plot and draws a trend line to fit the data. To see how well the trend line represents the data, Josh draws black lines to represent the distance each data point lies away from the trend line.
What is the sum of the residuals for all the points?
A. 97
B. 19
C. 39
D. 58
2 answers:
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)