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.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties