Linear vs Exponential & Continuous v DiscreteOnline version Test your knowledge of linear and exponential growth and continuous and discrete functions by Shelley Fry 1 Linear Functions (no graphs) 2 Exponential Functions (no graphs) 3 Continuous Graphs/Situations 4 Discrete Graphs/Situations Constant rate of change Graph forms a straight line Addition of equal intervals f(x)= -22/15x +40 g(x)= -0.25x +3 Adds 4.4 every 10 feet Variable rate of change Graph forms a curve Multiplication of previous values multiplies by 2 f(x)= 0.5(2)^(x-1) f(1)=1, f(x)=f(x-1)*2/3 A function showing the pressure on a diver's body increases as they dive. There are 500 gumballs in a bumball machine. The machine dispenses 3 gumballs for 25 cents. Filling a pool with water with a bucket. f(x)=2x^2+1