1. ## Polynomial function questions~

Check if it correct~

1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞?

a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9

b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9

c)f(x) = 3x^2 + x - 11

d)-2x^2 + 4x^3 + x - 7
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2. If the leading coefficient of an odd-degree polynomial function is positive, then the function extends from third quadrant to the first quadrant; that is, as

a) x-> ∞, y-> -∞ and as x-> -∞, y-> ∞

b) x-> -∞ , y-> ∞ and as x-> ∞ , y-> -∞

c)x-> -∞ , y-> -∞ and as x-> ∞, y-> ∞

d) x-> -∞, y-> -∞ and as x-> ∞, y-> -∞
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3. What is the maximum number of turning points that the polynomial function f(x) = 4x^7 + 9x^5 - 3x^4 + 2x^2 - 5?

a) 0
b) 2
c) 3
d) 6

4. Which equation is a quartic function with zeros at -4, -1, 2, 3?

a) y=(x-4)(x-1)(x+2)(x+3)
b) y=(x-2)(x-3)(x+4)(x+1)
c) y=(x+4)^2(x+1)(x-3)
d) y=(x+4)^2(x+1)^2(x-2)^2(x-3)^2

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5. Which of the following statements about the function y=a(k(x-d))^n + c is not true?

a) The value of A represents a vertical stretch/compression.
b)The value of D represents a horizontal translation
c) the value of K represents the maximum or minimum of the function.
d) the value of c represents a vertical translation.

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6. Describe the transformations that were applied to y= x^3 to create y=(3/4(x+3))^3 - 2.

a) Horizontally stretched by a factor 4/3, horizontally translated 3 units to the left and vertically translated 2 units down

b) Horizontally stretched by a factor 4/3, horizontally translated 3 units to the left and vertically translated 2 units down

c) Horizontally stretched by a factor 3, horizontally translated 4/3 units to the left and vertically translated 2 units down

d) Horizontally stretched by a factor 3/4, horizontally translated 2 units to the right and vertically translated 3 units up

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7. Determine the x-intercepts of the function y= 4(x+7)^3 - 32.

a) 2
b) -5
c) -5,5
d) -2,2