for the solution set.
For , use the Intermediate Value Theorem to determine which interval must contain a zero of f(x). (no explanation required) 5. __
____
A. Between 0 and 1
B. Between 1 and 2
C. Between 2 and 3
D. Between 3 and 4
3. (10 pts)
Look at the graph of the quadratic function and state the intercept(s), vertex, and range, and indicate which of equations A, B, C, or D, represents the graph. [
No explanations required.]
|
Graph
|
Fill in the blanks
|
Equation
|
|
![]()
|
State the y-intercept(s):
___________
State the vertex:
___________
State the range:
_________
|
The graph represents which of the following equations?
Choice: __
A. y = x2 – 6x + 1
B. y = –x2 – 6x + 1
C. y = x2 + 6x + 1
D. y = –x2 + 6x + 1
|
4. (6 pts) Each graph below represents a polynomial function. Complete the following table.
(no explanation required)
|
Graph
|
![4thdegIVT]()
Graph A
|
![]()
Graph B
|
|
Is the degree of the polynomial odd or even? (choose one)
|
|
|
|
Is the leading coefficient of the polynomial positive or negative? (choose one)
|
|
|
|
How many real number zeros are there?
|
|
|
5. (15 pts)
(No explanations required)
Let When factored,
(a) State the domain.
(b) Which sketch illustrates the end behavior of the polynomial function?
|
A. vvvv
|
B. vvvv
|
C. vvvv
|
D. vvvv
|
Answer: __
______
(c) State the y-intercept:
(d) State the x-intercepts:
(e) State which graph below is the graph of P(x). __________________
GRAPH A. (below) GRAPH B. (below)
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GRAPH C. (below) GRAPH D. (below)
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6. (15 pts)
Let (no explanation required)
(a) State the domain.
(b) State the y-intercept.
(c) State the x-intercept(s).
(d) State the vertical asymptote(s).
(e) State the horizontal asymptote.
7. (12 pts) Solve the equation. Show work in solving
8. (8 pts)
For z = 5 + 2i and w = 8 3i, find z/w. Simplify as much as possible, writing the result in the form a + bi, where a and b are real numbers. Show work.
9. (8 pts)
Find the solutions of the equation .
Show algebraic work.
10. (16 pts)
The marketing department has found that, when the new model calculators are sold at a price of p dollars per unit, the revenue R (in dollars) as a function of the price is:
(a) The revenue function is a quadratic function and so its graph is a parabola.
Does the parabola open up or down? _________
(b) What unit price should be established in order to maximize revenue?
(c) If this price is charged, what is the maximum revenue?
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)
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Quiz4toHWM.docx
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