The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
2 answers:
Answer:
interval is the function decreasing.
Step-by-step explanation:
Given : The graph of is transformed to
To find : On which interval is the function decreasing?
Solution :
First we plot the graph of both the functions,
The graph of is shown with black line.
The graph of is shown with violet line.
Refer the attached figure below.
The graph shows the interval over which it is increasing or decreasing.
As we notice it is increasing on the interval
Decreasing on
Therefore, interval is the function decreasing.
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Answer:
The null hypothesis is , in which x is the proportion tested.
The alternative hypothesis is
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is: