** The table above shows some values of the linear function f. Which of the foll...**

### Question

The table above shows some values of the linear function f. Which of the following defines f ?

### Options

The correct answer is C.

### Explanation:

Choice C is correct. The graph of y = f(n) in the coordinate plane is a line that passes through each of the points given in the table. From the table, one can see that an increase of 1 unit in n results in an increase of 3 units in f(n); for example, f(2) - f(1) = 1 - (-2) = 3. Therefore, the graph of y = f(n) in the coordinate plane is a line with slope 3. Only choice C is a line with slope 3. The y-intercept of the line is the value of f(0). Since an increase of 1 unit in n results in an increase of 3 units in f(n), it follows that f(1) - f(0) = 3. Since f(1) = -2, it follows that f(0) = f(1) - 3 = -5. Therefore, the y-intercept of the graph of f(n) is -5, and the equation in slope-intercept form that defined f is f(n) = 3n - 5.

Choices A, B, and D are incorrect because each equation has the incorrect slope of the line (the y-intercept in each equation is also incorrect).

### More Past Questions:

## Discussion

### Other Subjects

- English Language
- Biology
- Mathematics
- Government
- Physics
- Economics
- Chemistry
- Christian Religious Knowledge
- Commerce
- Geography
- Literature In English
- Accounts
- Agricultural Science
- General Paper
- Islamic Religious Knowledge
- History
- Further Mathematics
- Current Affairs
- Civic Education
- Reading
- Writing and Language
- Computer Studies
- Igbo
- French
- Home Economics
- Yoruba
- Hausa
- Fine Arts