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3 years ago

Use the table to determine the degree of the power function.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The x-values in the table are evenly-spaced, so we can determine the degree of the function by looking at successive differences of the f(x) terms.

f(x): -23, -4, 3, 4, 5, 12, 31

first differences: 19, 7, 1, 1, 7, 19

second differences: -12, -6, 0, 6, 12

third differences: 6, 6, 6, 6

The third differences are constant, so the function values can be matched by a <em>third degree</em> polynomial.

_____

<em>Additional comment</em>

The first differences are found by subtracting the function value from the next one. Likewise, the second differences are found by subtracting each first-difference value from the next one. An so on for the third differences.

The level at which the differences are constant is the degree of the polynomial that will match the function values. (Compare this to what you know about an arithmetic sequence, where first differences are constant and the sequence is described by a linear (degree 1) equation.)

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Kamila [148]

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Step-by-step explanation:

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3 years ago

A single card is drawn form a standard 52 card deck. Let D be the event that the card drawn is red., and let F be the event that

andrezito [222]

<h2>Answer:</h2>

Hence, the probability is:

0.8846

<h2>Step-by-step explanation:</h2>

D be the event that the card drawn is red.

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We are asked to find:

P(D'∪F')

We know that D' denote the complement of event D

and F' denote the complement of event F.

Hence, we have:

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3 years ago

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alexandr402 [8]

9514 1404 393

Answer:

a = 7

Step-by-step explanation:

The Pythagorean theorem tells you the value of 'a' is ...

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3 years ago

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katrin2010 [14]

*See diagram in the attachment

Answer:

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Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

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zhuklara [117]

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