Question
The graph of a rational function has a local minimum at (7,0). The complex number 4 + 2i is a zero of the function. What is the least possible degree of the function?
2
3
4
5
Given the function f(x)=x^4+6x^3-x^2-30x+4, use the Intermediate Value Theorem to decide which of the following intervals contains at least one zero. Select 4 answers
[-5,-4]
[-4,-3]
[-3,-2]
[-1,0]
[0,1]
[1,2]
2
3
4
5
Given the function f(x)=x^4+6x^3-x^2-30x+4, use the Intermediate Value Theorem to decide which of the following intervals contains at least one zero. Select 4 answers
[-5,-4]
[-4,-3]
[-3,-2]
[-1,0]
[0,1]
[1,2]
Answers
Answer
Which of the following is the domain of the function f(x)=x^2-4/4x^3-7x^2-2x ?
(-∞,-2) U (-2,1/4) U (1/4, ∞)
(-∞, 1/4) U (1/4,0) U (0,∞)
(-∞,-1/4) U (-1/4,0) U (0,2) U (2,∞)
(-∞,-1/4) U (-1/4,0) U (0,∞)
(-∞,-2) U (-2,1/4) U (1/4, ∞)
(-∞, 1/4) U (1/4,0) U (0,∞)
(-∞,-1/4) U (-1/4,0) U (0,2) U (2,∞)
(-∞,-1/4) U (-1/4,0) U (0,∞)
Answer
Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x=-2 . Explain how you determined your answer.
Answer
Find the equation of the horizontal asymptote of the function f(x)=x^3+1/5x^2-3x^3.
y=5/3
y=-1/3
y=0
y=1/5
y=5/3
y=-1/3
y=0
y=1/5
Answer
What is the equation of the slant asymptote of the graph of the function f(x)= 2x^2 -7x-8/x-4?
y=2x+2
y=x+3
y=2x+1
y=2x-15
y=2x+2
y=x+3
y=2x+1
y=2x-15
Answer
Find the quotient. write your answer in simplest form
4x^2)-9)/(6x^(2)+13x+6) divided (4x^(2)-1)/(6x^(2)+x-2)
A. 2x+3/3x+2
B. 2x-3/2x+1
C. 2x-3/2x-1
D. 3x+2/2x+1
4x^2)-9)/(6x^(2)+13x+6) divided (4x^(2)-1)/(6x^(2)+x-2)
A. 2x+3/3x+2
B. 2x-3/2x+1
C. 2x-3/2x-1
D. 3x+2/2x+1
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