AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PRegression Models

Regression Models — Cumulative exam Answers

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1
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A polynomial is factored using algebra tiles.

Question illustration
A
(x − 1) and (x + 3)
B
(x + 1) and (x − 3)
C
(x − 2) and (x + 3)
D
(x + 2) and (x − 3)
2
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Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

R
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
R
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
R
Robin’s graph is a translation of Giselle’s graph 1 unit down.
R
Robin’s graph is a translation of Giselle’s graph 1 unit left.
3

What is the factored form of the polynomial?x2 − 15x + 36

A
(x − 4)(x − 9)
B
(x − 3)(x − 12)
C
(x + 4)(x + 9)
D
(x + 3)(x + 12)
4

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Question illustration
A
(–6, 0) and (–5, 0)
B
(–4, 0) and (–3, 0)
C
(–3, 0) and (–2, 0)
D
(–2, 0) and (–1, 0)
5

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
6

The histogram represents the daily low and high temperatures in a city during March. Which comparison of the distributions is true?

Question illustration
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is skewed right.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is skewed right.
7

All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.

Question illustration
A
f(x) = –4(x – 50)(x – 250)
B
f(x) = (x – 50)(x – 250)
Option B
C
f(x) = 28(x + 50)(x + 250)
D
f(x) = (x + 50)(x + 250)
Option D
8

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A
g(x) = (x − 7)2 − 3
B
g(x) = (x + 7)2 − 3
C
g(x) = (x − 3)2 − 7
D
g(x) = (x − 3)2 + 7
9

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

A
–8
B
–4
C
0
D
1
10

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

A
right 5, down 23
B
left 5, down 23
C
right 5, up 27
D
left 5, up 27
11

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
12

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

Question illustration
A
k Superscript one-third
Option A
B
k Superscript one-half
Option B
C
k Superscript two-thirds
Option C
D
k Superscript three-halves
Option D
13

What is the value of the expression ?

Question illustration
Answer not available
14

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

A
The discriminant is −55, so the equation has 2 real solutions.
B
The discriminant is −55, so the equation has no real solutions.
C
The discriminant is 73, so the equation has 2 real solutions.
D
The discriminant is 73, so the equation has no real solutions.
15

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

A
0 = –2x2 + x + 3
B
0 = 2x2 + x + 3
C
0 = –2x2 + 3
D
0 = 2x2 – x + 3
16

Which function represents exponential decay?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) = 4
Option f
f
f(x) = 4
Option f
17

Which is the graph of g(x) = – 2?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

three

Question illustration
T
The vertex is the maximum value.
T
The axis of symmetry is x = .
Option T
T
The domain is all real numbers.
T
The range is all real numbers.
T
The function is decreasing from (−∞, 6.75).
19

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

f
f(x) = x2 + 36x + 12
f
f(x) = x2 – 36x – 12
f
f(x) = –x2 + 12x + 36
f
f(x) = –x2 – 12x – 36
20

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

A
The discriminant is equal to 0, which means the equation has no real number solutions.
B
The discriminant is equal to 0, which means the equation has one real number solution.
C
The discriminant is equal to 128, which means the equation has no real number solutions.
D
The discriminant is equal to 128, which means the equation has two real number solutions.

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