AnswersPrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane — Unit test Answers

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Review the graph of function g(x).Esai claims that is both –2 and –8 because the graph oscillates between these two values.Kadence claims that is the average of –2 and –8, which is –5.

Question illustration
A
Esai only
B
Kadence only
C
both Esai and Kadence
D
neither Esai nor Kadence
2
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Review the graph of function f(x).

Question illustration
A
minimum value = 1; maximum value = 6
B
minimum value = 2; maximum value = 6
C
minimum value = –1; maximum value = 3
D
minimum value = –2; maximum value = 3
3

Review the table of values for function j(x) = .xj(x)7.90.7478997.990.7497917.9990.7499798undefined8.0010.7500218.010.7502088.10.752066

Question illustration
A
0.375
B
0.75
C
8
D
DNE
4

Consider the function .Which statement describes the discontinuity at x = 1?

Question illustration
A
a jump discontinuity that cannot be removed by extending the function
B
an infinite discontinuity that cannot be removed by extending the function
C
a removable discontinuity that can be removed by extending the function to include f(1) = 13
D
a removable discontinuity that can be removed by extending the function to include f(1) = –11
5

Function g(x) has a removable discontinuity at x = c, where g(c) is undefined. Which statement describes the one-sided limits at x = c?

A
Limit of g (x) D N E as x approaches c minus. Limit of g (x) D N E as x approaches c plus.
Option A
B
Limit of g (x) = a as x approaches c minus. Limit of g (x) = a as x approaches c plus. For some value of a.
Option B
C
Limit of g (x) D N E as x approaches c minus. Limit of g (x) = b as x approaches c plus. For some value of b.
Option C
D
Limit of g (x) = a as x approaches c minus. Limit of g (x) = b as x approaches c plus. For distinct value a and b.
Option D
6

Review the graph of a piecewise function.

Question illustration
A
–3
B
–1
C
1
D
3
7

Review graph I and graph II.

A
In both graph I and graph II, the limit is 5.
B
In both graph I and graph II, the limit does not exist.
C
In graph I, the limit does not exist, but in graph II, the limit is 5.
D
In graph I, the limit is 8, but in graph II, the limit does not exist.
8

What is ?

Question illustration
A
Negative StartFraction 3 StartRoot 3 EndRoot Over 2 EndFraction
B
Negative StartFraction StartRoot 3 EndRoot Over 6 EndFraction
C
StartFraction StartRoot 3 EndRoot Over 6 EndFraction
D
StartFraction 3 StartRoot 3 EndRoot Over 2 EndFraction
9

Given f(x) = 5x4 – x2 + 6x – 1. What is ?

Question illustration
A
–3
B
–13
C
–25
D
–29
10

What is ?

Question illustration
A
–2
B
–1
C
0
D
DNE
11

Which expression can be multiplied by the numerator and denominator to help evaluate ?

A
x – 1
B
x + 1
C
StartRoot x minus 1 EndRoot minus 1
D
StartRoot x minus 1 EndRoot + 1
12

Review the graph of function f(x), which is defined for –4 < x ≤ 2.

Question illustration
A
DNE DNE 2 2
B
5 5 2 2
C
DNE 5 2 DNE
D
5 DNE DNE 2

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