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enot [183]
2 years ago
5

Graphs of Polynomial Functions Gizmo

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
3 0

Answer:

 degree=2 leading coefficient=4

lowest degree = 3

maximum of 5 x-intercepts

y=-4x^7-5x+3 has y intecept 3

y approaches negative infinity

Step-by-step explanation:

(1) y=4x^2-3x+7

Highest exponent is the degree of the function

Highest exponent =2  so degree =2

Coefficient of x^2 is 4, so leading coefficient is 4

(2) from the graph we can see that

As x approaches infinity, the graph goes down

As x approaches -infinity, the graph goes up

The value of y goes on the opposite direction. So it is a odd degree function. If degree =1  then the graph should be a line

Here the graph is like a curve. Also we have 2 x  intercepts . Hence lowest possible degree of the function is 3

(3) y=ax^5+cx^2+f

Here , the degree of the equation is 5

So we will get maximum of 5 x-intercepts

(4) To find the function that has y intercept of 3, we plug in 0 for x in each function

y=-4x^7-5x+3

y=-4(0)^7-5(0)+3= 3

y=-4x^7-5x+3 has y intecept 3

(5) y=-2x^{13}+25x^8-3

Here degree is 13 that is odd  and leading coefficient is -2 ( negative)

Degree is odd and leading coefficient is negative so the graph of y goes down on the right side.

the graph of y approaches negative infinity when x approaches infinity

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A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'
Soloha48 [4]

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

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Width = x + 5 + 5 = (x + 10) feet

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Using the  FOIL method, we have;

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collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

Learn more about area of a rectangle here:

brainly.com/question/14137384

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1 year ago
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of t
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