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.