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JulijaS [17]
3 years ago
10

A.

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

The result for an input of 7 is: y=15

The output (y-value) associated with an input of 3 is: y=7

Step-by-step explanation:

The image attached shown the graph for the rule y= 2x+1.

In order to use the graph to predict the result for an input value of 7, you need to follow these steps:

- Draw a vertical line from x=7

- When the vertical line touches the graph, you must draw a horizontal line to the y-axis to find the y-value.

You can observe in the graph that the result for an input value of x=7 is y=15

Follow these steps in order to use the graph to predict the output value associated with an input value of 3:

- Draw a vertical line from x=3

- When the vertical line touches the graph, you must draw a horizontal line to the y-axis to find the y-value.

You can observe in the graph that the output value associated with an input value of x=3  is  y=7

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Step-by-step explanation:

5k×8×20

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Step-by-step explanation:

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
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The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

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