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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
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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