Answer:
y= x^2 + 8
Step-by-step explanation:
x square rooted is x^2 and shifted up 8 unit probably means that it wants the y-intercept to be 8.
From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:

- Thus, it will be positive if:

- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
Explanation:
The function is 
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function 

Thus, the x-intercept is 
To find the y-intercept, let us substitute x=0, we get,

Thus, the y-intercept is 
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function
, to find the y-values.
The points are
. The image of the graph and table is attached below:
Answer:
The critical value for the 95% confidence interval is z = 1.96.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of 
So it is z with a pvalue of
, so z = 1.96.
The critical value for the 95% confidence interval is z = 1.96.