Answers2627 ALGEBRA II ASymmetry

Symmetry — Unit test Answers

8 verified answers1 views
1
Free Preview

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
2
Free Preview

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
3

For which pair of functions is ?

Question illustration
A
f(x) = 3 – 4x and g(x) = 16x – 3
B
f(x) = 6x2 and
Option B
C
and g(x) = 144x
Option C
D
f(x) = 4x and g(x) = 3x
4

Which graph represents an even function?

A
A coordinate plane has 5 points. The points are (negative 6, negative 4), (negative 4, 2), (2, 4), (4, negative 2), (6, 2).
Option A
B
A coordinate plane has 7 points. The points are (negative 3, negative 6), (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4), (3, 6).
Option B
C
A coordinate plane has 7 points. The points are (negative 5, 2), (negative 4, 1), (negative 3, 3), (negative 2, 5), (2, negative 2), (3, negative 5), (4, negative 6).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).
Option D
5

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).
6

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

Question illustration
A
u(x) 0 and v(x) 2
Option A
B
x 0 and x cannot be any value for which u(x) 2
Option B
C
x 2 and x cannot be any value for which v(x) 0
Option C
D
u(x) 2 and v(x) 0
Option D
7

If g(x) is an odd function, which function must be an even function?

A
f(x) = g(x) + 2
B
f(x) = g(x) + g(x)
C
f(x) = g(x)2
D
f(x) = –g(x)
8

Which of the following is an odd function?

A
g(x) = x2
B
g(x) = 5x – 1
C
g(x) = 3
D
g(x) = 4x
9

If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
11

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Which statement verifies that f(x) and g(x) are inverses of each other?

A
Option
Option A
B
and
Option B
C
Option
Option C
D
and
Option D

Did you find these answers helpful?

More from this Course

Quiz
2 verified answers

Test

Quiz
16 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Symmetry — Unit test Answers — 2627 ALGEBRA II A