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Elanso [62]
3 years ago
9

Describing Key Features of a Graph of a Polynomial Function:

Mathematics
2 answers:
den301095 [7]3 years ago
6 0

Answer:

The degree of the function is odd and the leading coefficient is positive – so the function goes to negative infinity as x goes to negative infinity and to positive infinity as x goes to positive infinity.

The zeroes are –4, 0, and 2, all with multiplicity 1.

The function is negative from negative infinity to –4 and from 0 to 2.

The function is positive from –4 to 0 and from 2 to infinity.

Step-by-step explanation:

Diano4ka-milaya [45]3 years ago
3 0

<u>End behavior: </u>

The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.

<u>Zeroes:</u>

f(x) = x³ + 2x² - 8x

0 = x³ + 2x² - 8x

0 = x(x² + 2x - 8)    

0 = x(x + 4)(x - 2)

0 = x         0 = x + 4         0 = x - 2

x = 0            x = -4              x = 2

<u>Intervals:</u>

Put the zeroes in order: -4, 0, 2

since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.

<u>Graph:</u>

see attachment



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Which graph has a slope of ? A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes thr
VikaD [51]

Answer:

slope of the first line: 1

slope of the second line: 0.778

slope of the third line: 0.375

slope of the fourth line: 1.25

Step-by-step explanation:

Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:

slope = (y2 - y1)/(x2 - x1)

Therefore,

slope of the first line: [5 - (-4)]/[4 - (-5)] = 1

slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778

slope of the third line: [2 - (-1)]/[3 - (-5)] =  0.375

slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25

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3 years ago
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Write the complex number in the form a + bi.<br> 3(cos 60° + i sin 60°)
hram777 [196]

Answer:

The complex number in the form of a + b i is 3/2 + i √3/2

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

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∵ z = 3(cos 60° + i sin 60°)

∴ r = 3 and Ф = 60°

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∴ z = 3(1/2 + i √3/2) ⇒ open the bracket

∴ z = 3/2 + i √3/2

* The complex number in the form of a + b i is 3/2 + i √3/2

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Step-by-step explanation:

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Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms
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Answer:

The price of uniform U= $145

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Step-by-step explanation:

Let:

The Price of Each Uniform = U

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→ Equation A

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C= $16

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