if you vertically shift the absolute value parent function, f(x)=lxl up five units what is the equation of the new function?
2 answers:
Answer:
Step-by-step explanation:
There is a parent function in absolute value as
f(x) = |x|
Given that this is shifted up by 5 units
This means no horizontal shift so x remains as it is
Since vertically shifted by 5 units, we get new function as
This will make the parent function shift by 5 units up and hence y intercept would be
f(0) = 5
This function would be having minimum at (0,5) and symmetrical about x=0
Domain = all real numbers
Range =[5,infty)
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Answer:
a
b
Ca
Cb
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
=>
=>
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
=>
The sample size is n = 22
Given that the sample size is not sufficient enough i.e we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
=>
=>
Generally from the student t distribution table the critical value of at a degree of freedom of 21 is
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is