# 4-1 Identifying Linear Functions And 4-2 Using Intercepts

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| By Albert Melchor
A
Albert Melchor
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Quizzes Created: 17 | Total Attempts: 12,530
Questions: 9 | Attempts: 482

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• 1.

### #14, p. 240

• A.

X-int.: −5; y-int.: −1

• B.

X-int.: −4; y-int.: 1

• C.

X-int.: −1; y-int.: −5

• D.

Not here

A. X-int.: −5; y-int.: −1
Explanation
The correct answer is x-int.: −5; y-int.: −1. This means that the graph of the equation intersects the x-axis at -5 and the y-axis at -1.

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• 2.

### #18, p. 240

• A.

X-int.: 2; y-int.: −2

• B.

X-int: −2; y-int.: 6

• C.

X-int: −8; y-int.: 2

• D.

Not here

C. X-int: −8; y-int.: 2
Explanation
The correct answer is x-int: −8; y-int.: 2. This means that the graph of the equation crosses the x-axis at -8 and the y-axis at 2.

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• 3.

• A.
• B.
• C.

Not here

B.
• 4.

• A.
• B.
• C.

Not here

A.
• 5.

• A.

Graph A

• B.

Graph B

• C.

Graph C

• D.

Graph D

A. Graph A
• 6.

### #16, p. 234

• A.

Yes, it is a function; yes, it is linear

• B.

Yes, it is a function; no, it is not linear

• C.

No, it is not a function

A. Yes, it is a function; yes, it is linear
Explanation
The given answer states that the given object is both a function and linear. This means that there is a one-to-one correspondence between the input and output values, and the relationship between the input and output values follows a linear pattern.

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• 7.

### #18, p. 234

• A.

Yes, it is a linear function. There is a constant rate of change.

• B.

No, it is not a linear function. There is not a constant rate of change.

B. No, it is not a linear function. There is not a constant rate of change.
Explanation
The given answer is correct because a linear function is characterized by a constant rate of change. In this case, it is stated that there is not a constant rate of change, indicating that the function is not linear.

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• 8.

### #28, p. 235

• A.

Yes, it is a function; yes, it is linear

• B.

Yes, it is a function; no, it is not linear

• C.

No, it is not a function

B. Yes, it is a function; no, it is not linear
Explanation
The given answer states that the given entity is a function, meaning that each input has a unique output. However, it is not linear because it does not satisfy the property of linearity, which requires the function to have constant rates of change. Therefore, the given entity is a function but not a linear one.

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• 9.

### #20, p. 234

• A.

Yes, it is a linear function. There is a constant rate of change.

• B.

No, it is not a linear function. There is not a constant rate of change.

A. Yes, it is a linear function. There is a constant rate of change.
Explanation
The given answer states that the function is linear because it has a constant rate of change. In a linear function, the rate of change between any two points on the graph is always the same. This means that as the input (x) increases by a certain amount, the output (y) also increases by a consistent amount. Therefore, the function can be considered linear.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 24, 2014
Quiz Created by
Albert Melchor

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