### 3-3: TEKS Practice

• 1.

• a. Draw a graph which shows the set of ordered pairs {(1, 4), (2, 4), (3, 8), (4, 10), (5, 12)}.

• b. Does the set of ordered pairs represent a linear function?

• 2. The graph of the set of ordered pairs below represents a linear function. Find the rate of change.

{(1, 6.1), (2, 9.1), (3, 12.1), (4, 15.1)}

• 3. Does the relation defined by the table represent a linear function?

• A. Yes, because the rate of change is not constant.

• B. Yes, because the rate of change is 3.

• C. No, because the rate of change is 3.

• D. No, because the rate of change is not constant.

• 4. Determine whether the relation defined by the table represents a linear function.

• A. Yes, because the rate of change is 2.6.

• B. No, because the rate of change is not constant.

• C. No, because the rate of change is 2.6.

• D. Yes, because the rate of change is not constant.

• 5. A student is completing a homework assignment. Each minute, the student records the number of problems left to complete. The table shows the data.

• a. What is the rate of change of this linear function?

• b. What does the rate of change represent in this situation?

• 6.

• a. Reasoning Does the relation represent a linear function?

• A. Yes, because the rate of change is not constant.

• B. No, because the rate of change is not constant.

• C. Yes, because the rate of change is 3.

• D. No, because the rate of change is 3.

• b. If the change in outputs for a relation is not constant, does that mean the relation is not linear? Explain your reasoning.

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