Quiz about Units 1-4 Midterm Study Guide

Question 1

#2) What are the x-intercepts of the graph of y = (3x - 2)(4x + 3)(x - 4)?

Accepted Answer

(-2/3, 0), (3/4, 0), (-4,0)

Answer

(2/5, 0), (-3/4, 0), (4,0)

Answer

(-5/3, 0), (1/4, 0), (3,0)

Answer

(3/5, 0), (4,0), (3,0)

Question 2

#3) Write the polynomial $$3x^2 + 22x + 24$$ in the form $$(x + 6) \cdot (? + ?)$$ . Write your answer in the boxes. $$(x + 6) \cdot (\Box + \Box)$$

Accepted Answer

$$(x + 6) \cdot (3x + 4)$$

Answer

$$(x + 6) \cdot (3x + 5)$$

Answer

$$(x + 6) \cdot (3x - 4)$$

Answer

$$(x + 6) \cdot (x + 24)$$

Question 3

#4) If $$p\left(x\right)=2x^3+5x^2+x-4$$ , What is p(3)?

Accepted Answer

98

Answer

-98

Answer

-16

Answer

16

Question 4

#4) If $$p\left(x\right)=2x^3+5x^2+x-4$$ , What is p(-3)?

Accepted Answer

-16

Answer

98

Answer

-98

Answer

16

Question 5

#10) Write the equation of a function g(x) whose graph is the graph of f(x) = |x| translated 9 units to the right, 5 units up, and vertically stretched by a factor of 2.

Accepted Answer

g(x) = 2|x - 9| + 5

Answer

g(x) = |2x - 9| + 5

Answer

g(x) = 2|x - 9| - 5

Answer

g(x) = 2|x| + 5

Question 6

#14) Write an equation for a polynomial function whose graph intersects the horizontal axis at 4, -3, and 1 and contains the point (2, -10). f(x) =

Accepted Answer

(x - 4)(x + 3)(x - 1)

Answer

-(x - 4)(x + 3)(x - 1)

Answer

(x - 4)(x + 3)(x + 1)

Answer

(x + 4)(x + 3)(x - 1)

Question 7

#15) Which of the following points is a relative maximum for the graph shown of a polynomial function?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 8

#16) Andre wants to make an open-top box by cutting out corners of a 18 inch by 10 inch piece of poster board and then folding up the sides. The volume V(x), in cubic inches, of the open-top box is a function of the side length x, in inches, of the square cutouts. Write an expression for V(x).

Accepted Answer

V(x) = x(18 - 2x)(10 - 2x)

Answer

V(x) = (18 - 2x)(10 - 2x) + x

Answer

V(x) = x(18 - x)(10 - x)

Answer

V(x) = x(18 - 2x) + x(10 - 2x)

Question 9

#17) Select the option that correctly states the point of intersection between the graphs of the functions f(x) = (x - 4)(x + 1) and g(x) = (x + 4)(x - 1) and the solution to the equation (x - 4)(x + 1) = (x + 4)(x - 1).

Accepted Answer

The graphs intersect at (0, -4) and the solution is x = 0.

Answer

The graphs intersect at (0, 4) and the solution is x = 0.

Answer

The graphs intersect at (4, 0) and the solution is x = 4.

Answer

The graphs intersect at (-4, 0) and the solution is x = -4.

Question 10

#18) Which term can be added to the polynomial expression $$4x^6 - 3x^5 + 2x^3 + x^2 - 6$$ to make it into an 8th-degree polynomial?

Accepted Answer

$$4x^8$$

Answer

8

Answer

8x

Answer

$$8x^7$$

Question 11

#19) Given the table below, determine if the inverse is a function. Choose the answer that best explains why or why not.

Accepted Answer

The inverse is not a function because, for f(x), there is more than one value of x for some y-values.

Answer

The inverse is a function because, for f(x), there is exactly one value of x for each y-value.

Answer

The inverse is a function because, for f(x), there is more than one value of x for some y-values.

Answer

The inverse is not a function because, for f(x), there is exactly one value of x for each y-value.

Question 12

#20) A 5th-degree polynomial has exactly 2 non-real zeros. How many real zeros must it have?

Accepted Answer

3

Answer

5

Answer

2

Answer

4

Question 13

#21) The zigzag crystal vase has a height of 15 centimeters. The cross sections parallel to the base are always rectangles that are 10 centimeters wide by 4 centimeters long. If we assume the crystal itself has no thickness, what would be the volume of the vase?

Accepted Answer

600

Answer

400

Answer

500

Answer

700

Question 14

#23) Which of the following is not a property of a parallelogram?

Accepted Answer

The diagonals of a parallelogram are perpendicular to each other.

Answer

The diagonals of a parallelogram bisect each other.

Answer

The opposite angles of a parallelogram are supplementary.

Answer

Opposite sides of a parallelogram are parallel and congruent.

Answer

The adjacent angles of a parallelogram are supplementary.

Units 1-4 Midterm Study Guide

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