- Complete the table for each function:
- For y = 2x: (0,0), (1,2), (2,4), (3,6), (4,8), (5,10)
- For y = x²: (0,0), (1,1), (2,4), (3,9), (4,16), (5,25)
- For y = 2^x: (0,1), (1,2), (2,4), (3,8), (4,16), (5,32)
- Graph each function on the provided coordinate plane using a different color for each.
- Answer the questions based on the completed table and graph:
a) The function y = 2x shows a constant rate of change in its y values. This is displayed on the graph as a straight line.
b) Between 1 < x < 2, the function y = x² is largest. This is displayed on the graph as the parabola being above the other two curves in that interval.
c) Eventually, the exponential function y = 2^x shows the most rapid rate of growth in its y values. This is displayed on the graph as the exponential curve rising much more steeply than the others for larger x values.
Parent Tip: Review the logic above to help your child master the concept of comparing linear quadratic and exponential worksheet.
