X-1/(x+1)(x-5) when x equals 3
1 answer:
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<h2>Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>Step-by-step explanation:</h2>The function f(x) is given by :
The function f(x) is a linear function with positive slope.
and the function g(x) is given by:
The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
Answer:
The sample mean is and the sample median is 0.56
Step-by-step explanation:
The sample mean of observations
is given by
Applying the above definition we get that
The sum of these 15 sample observations is
and the sample mean is
The sample median is obtained by first ordering the <em>n</em> observations from smallest to largest (with any repeated values included so that every sample observation appears in the ordered list). Then,
Sample median = The single middle value if n is odd =
Sample median = The average of the two middle values if n is even = average of and
Applying the above definition we get that
The data is already ordered and n = 15 so,
Sample median = = 0.56