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4 years ago

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1.Graph the function y=2/x . Find the range of the function given that the domain of the function is all real numbers x, except

x is not equal to 0. Draw a chart to show at least four ordered pairs that are on the graph.

1 answer:

Ivanshal [37]4 years ago

5 0

The range of the function is all real number values of y except y = 0.

Ordered pairs in the graph includes (-4, -0.5), (-2, -1), (-1, -2), (1, 2)

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How to change decimal to a fraction

Ksju [112]

Put the number that the decimal is over the place that it is in
example
.5
every space after the decimal is multiplied by 10
tenths place 0.1
hundreths 0.01
thousanths 0.001
etc
so .5 is in the tenths place so the fraction would be 5/10
the decimal is now converted into a fraction

another example
.07 is in the hundreths so it would be 7/100

final example
.25 is in the hundredths place since the last number lands on the hundreths column
it would be 25/100

if possible you can simplify if that is what is needed

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4 years ago

What is the x-coordinate of the point shown in the graph? V

svet-max [94.6K]

Step-by-step explanation:

I dont see a graph can you include the graph

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3 years ago

Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

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3 years ago

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romanna [79]

I can help if you want me to

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3 years ago

Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why o

solong [7]

Answer: No

Step-by-step explanation: no because one is negative 1 3/4 and the other one isint in the negatives

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3 years ago