E 1: In the default setting compare the three schemes for the exponential growth function. Derive the reason for the visual appearances from the formula.
E 2: Change parameters a and b and observe the changes of the curves.. What happens at x = 0? Reflect the observation as result of the formula.
E 3: Repeat the experiments for exponential damping.
E 4: Choose the power function. Vary b and study the result in the twofold logarithmic scheme. Compare with the formula.
E 5: If you choose b with the slider, you probably see just the positive branch in the linear−linear scheme of the potency. Why? Input positive and negative integers into the b text field and study which branches are now shown. Do not hesitate to also choose really high values for b.
E 6: Study the appearance of the different periodic functions.
E 7: Input your own formulas. Use proper factors to stay within the coordinate limits.
E 8: Try to formulate polynomials with several roots in the coordinate range. For some choose even, for others uneven maximum power.