Composition of Functions — Unit test Answers

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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Question illustration
A
x3 – x2
B
–x3 + x2
C
–x3 + x2 – 1
D
x3 – x2 + 1
2
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If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
3

Which will result in a difference of squares?

A
(negative 7 x + 4)(negative 7 x + 4)
Option A
B
(negative 7 x + 4)(4 minus 7 x)
Option B
C
(negative 7 x + 4)(negative 7 x minus 4)
Option C
D
(negative 7 x + 4)(7 x minus 4)
Option D
4

If and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

A
5x3
B
9x3
C
5x3 – 8x2
D
9x3 – 8x2
6

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

A
3x – 260
B
3x + 140
C
5x – 260
D
5x + 140
7

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
8

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
9

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
10

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
12

What is the product?

Question illustration
A
15 r squared + 8
Option A
B
15 r squared minus 8
Option B
C
15 r squared + 14 r minus 8
Option C
D
15 r squared minus 14 r minus 8
Option D
13

What is true about the sum of the two polynomials?6s2t – 2st24s2t – 3st2

A
The sum is a binomial with a degree of 2.
B
The sum is a binomial with a degree of 3.
C
The sum is a trinomial with a degree of 2.
D
The sum is a trinomial with a degree of 3.
14

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

Question illustration
A
4(x – 7)2 – x – 7 + 3
B
4(x – 7)2 – (x – 7) + 3
C
(4x2 – x + 3) – 7
D
(4x2 – x + 3)(x – 7)
15

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

A
Both the sum and difference have a degree of 6.
B
Both the sum and difference have a degree of 7.
C
The sum has a degree of 6, but the difference has a degree of 7.
D
The sum has a degree of 7, but the difference has a degree of 6.

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