carliefox26

30.11.2021 •

Mathematics

Jorge Powell is married and claims 2 allowances. How much does the
company withhold from his weekly paycheck
of $550 for the last week of December

Jorge Powell is married and claims 2

allowances. How much does the
company withhold from his week

Solved

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Ответ:

jhanes1983

12.01.2021

Mathematics

The range of f(x) is $f(x)\geq -2$ and option D is correct.

Step-by-step explanation:

The given function is

$f(x)+2=\frac{1}{6}|x-3|$

It can be written as

$f(x)=\frac{1}{6}|x-3|-2$ .... (1)

The function is in the form of

g(x)=a|x-h|+k ....(2)

Where, a is scale factor and (h,k) is vertex of the graph.

On comparing (1) and (2), we get

$a=\frac{1}{6}$

h=3

k=-2

Therefore the vertex of f(x) is (3,-2). Option A is incorrect.

The value of a is $\frac{1}{6}$ . So, the graph compressed vertically. The value of a is positive, therefore the graph of f(x) opens upward.

We know the absolute value is always greater than or equal to 0.

$|x-3|\geq 0$

$\frac{1}{6}|x-3|\geq \frac{1}{6}(0)$

$\frac{1}{6}|x-3|\geq 0$

$\frac{1}{6}|x-3|-2\geq 0-2$

$f(x)\geq -2$

Therefore the range of f(x) is $f(x)\geq -2$ and option D is correct.

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Jorge Powell is married and claims 2 allowances. How much does the company withhold from his weekly paycheck of $550 for the last week of December