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faltersainse [42]
3 years ago
8

Explain how to wrie a function rule from the table then write one

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

See example below.

Step-by-step explanation:

If the function has the table:

x          f(x)

-3          -6

-2          -4

-1           -2

0            0

Step 1 : Looking at the table, find a pattern. This table f(x) deceases by 2 each time. This is a constant rate of change called slope.

Step 2: Recognize the pattern. Since it is decreasing by 2 each time, this is a linear function. Its equation can be written using y = mx+b.

Step 3: Use the form, y =mx + b and substitute m and b.

Step 4: The slope is m . The slope is -2. m = -2.

Step 5: Find the y-intercept. b is the y-intercept or starting point where x = 0. When x=0, the table shows y=0. So b=0.

This means the rule is y = -2x.

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A polynomial function upper P left parenthesis x right parenthesis with rational coefficients has the given roots. Find two addi
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Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.

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3 years ago
A 31​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third
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Answer:

The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

Step-by-step explanation:

Total length of the steel = 31 inches

Let the length of the first piece = x

let the length of the second piece = y

Let the length of the third piece = z

So,    

  y = 2x

  z = 4x + 3

x + 2x + 4x +3  = total length of the steel = 31

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