Answered

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Make your own polymonial funtions.
Draw the graph of it in a clean sheet of paper.

Can you pls help me po.​

Sagot :

Answer:

✒️POLYNOMIAL

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DIRECTIONS:

Make your own polynomial function. Draw the graph of it in a clean sheet of paper.

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ANSWER:

\qquad \Large \:\:\rm{y = x^3 - 4x^2 + x + 6} y=x

3

−4x

2

+x+6

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SOLUTION:

» Choose any x-intercepts. (I chose three of them for cubic function).

x = 3\:, \quad x = \text-1 \:, \quad x = 2 x=3,x=-1,x=2

» Equate them to zero then multiply them equal to zero.

x - 3 = 0\:, \quad x + 1 = 0 \:, \quad x - 2 = 0 x−3=0,x+1=0,x−2=0

0 = (x - 3)(x + 1)(x - 2) 0=(x−3)(x+1)(x−2)

» The given equation gives the x-intercept of the fuction. Set zero to y to get the function.

y = (x - 3)(x + 1)(x - 2) y=(x−3)(x+1)(x−2)

» Find the y intercept of the function (set x to zero)

y = (0 - 3)(0 + 1)(0 - 2) y=(0−3)(0+1)(0−2)

y = (\text- 3)(1)(\text- 2) y=(-3)(1)(-2)

y = 6 y=6

» Thus, the y intercept is 6. Now that we have the given, plot the points where the graph passes through.

x-intercepts = (3, 0), (-1, 0), (2, 0)

y-intercept = (0, 6)

» After plotting, know its end behavior using the leading coefficient test.

y = (x - 3)(x + 1)(x - 2) y=(x−3)(x+1)(x−2)

y = (x^2 - 2x - 3)(x - 2) y=(x

2

−2x−3)(x−2)

y = x^3 - 4x^2 + x + 6 y=x

3

−4x

2

+x+6

» Since the leading coefficient is positive and its degree is odd, then the graph will fall to the left and rises to the right.

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Step-by-step explanation:

Hope this helps you :)

#CarryOnLearning

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Annie138idn

Answer:

DIRECTIONS:

Make your own polynomial function. Draw the graph of it in a clean sheet of paper

Step-by-step explanation:

sorry po mayroon naman po answer.

sorry po sa nonsense answer kopo.

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