### 3-5: TEKS Practice

• 1. Decide whether the function y = 3x + 1 is linear or nonlinear using both a table and a graph.

• a. Complete the table of values for the function. • b. Graph the function.

• c. Is the function linear or nonlinear? Use your answers to parts (a) and (b) to explain.

• 2. The table shows the population growth of mice over five years in a laboratory. Decide whether the table represents a linear function or a nonlinear function. • 3. A student was asked to decide whether the function y = 5x 2 is linear or nonlinear using both a table and a graph. The student said the function is nonlinear because the rate of change is constant and the graph of the function is not a line.

• a. Complete the table of values for the function. • b. Graph the function.

• c. Decide whether the function is linear or nonlinear. Choose the correct answer below.

• A. The function is linear because the rate of change is constant and the graph of the function is a line.

• B. The function is linear because the rate of change is not constant and the graph of the function is not a line.

• C. The function is nonlinear because the rate of change is constant and the graph of the function is a line.

• D. The function is nonlinear because the rate of change is not constant and the graph of the function is not a line.

• d. What mistake might the student have made?

• 4.

• a. Multiple Representations Does the table represent a linear function or a nonlinear function? • b. Use separate graph paper to plot the points from the table.

End ofPage 122