Math
posted by Jacob .
Can someone help me with these T.T
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

2. If the leading coefficient of an odddegree 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> ∞

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
The answer is D, 6?
4. Which equation is a quartic function with zeros at 4, 1, 2, 3?
a) y=(x4)(x1)(x+2)(x+3)
b) y=(x2)(x3)(x+4)(x+1)
c) y=(x+4)^2(x+1)(x3)
d) y=(x+4)^2(x+1)^2(x2)^2(x3)^2
The answer is b, y=(x2)(x3)(x+4)(x+1)

5. Which of the following statements about the function y=a(k(xd))^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.
The answer is C

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
The answer is C.

7. Determine the xintercepts of the function y= 4(x+7)^3  32.
a) 2
b) 5
c) 5,5
d) 2,2
The answer is B, 5.

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