AnswersHigh School Math 2 AGeometric Sequences

Geometric Sequences — Cumulative exam Answers

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The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form g(x) = (x – h)3 + k.

Question illustration
A
h = 4 k = –2
B
h = –4 k = –2
C
h = 4 k = 2
D
h = –4 k = 2
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What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
43

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
Option B
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
Option C
D
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
Option D
44

Which equation is represented by the graph below?

Question illustration
A
y = one-eighth e Superscript x
Option A
B
y = one-half e Superscript x
Option B
C
y = 2 e Superscript x
Option C
D
y = 8 e Superscript x
Option D
45

What are the potential solutions of

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
46

What is the solution of ?

Question illustration
A
c = 0 and c = 3
B
all real numbers
C
all real numbers, except c ¹ 0 and c ¹ 3
D
no solution
47

How does the range of compare with the range of the parent function ?

Question illustration
A
The range of both f(x) and g(x) is all real numbers
B
The range of both f(x) and g(x) is all nonzero real numbers
C
The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6
D
The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6
48

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
49

The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length × width, what is the width of the rectangle?

A
x + 1
B
x – 9
C
x + 4
D
x – 1
50

A student solved the equation below by graphing.Which statement about the graph is true?

Question illustration
A
The curves do not intersect.
B
The curves intersect at one point.
C
The curves intersect at two points.
D
The curves appear to coincide.

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