An applet to investigate the effect of changing the values of A,B,C and D in a function of the form f(x) = C*(A+x)^B+D compared to the function f(x)=x^B

1. Begin by moving the slider labeled "D". [br]What happens if D is bigger than 0?[br]What happens if D is less than 0?[br]Set D back to 0.[br][br]2. Now moving the slider labeled "A".[br]What happens if A is bigger than 0?[br]What happens if A is less than 0?[br]Set A back to 0.[br]Guess: What does the graph of (3+x) ²-3 look like compared to x²?[br]Verify your guess by moving the appropriate sliders {(A+x)2 – D}[br][br]3. Now move slider C.[br]What happens if C is bigger than 1?[br]What happens if C is less than 1 but bigger than 0?[br]What happens if C is equal to zero? Why?[br]What happens if C is less than zero?