Diana Luo's Individual Presentation

1. Diana Luo's Individual Presentation Free Response Question Year 2005; Question 6

2. Free Response Question

4. a)

5. b) can be interpreted as the slope if you plug in a given (x,y) coordinate. “ ” Given: f(1) = -1 “2” equals the slope of the tangent line, or “m” in the equation: With (1,-1) and m=2, you can plug into the equation above resulting: (y+1)= 2(x-1)

6. b) (continued): • The line’s tangent line is (y+1)= 2(x-1) • The question also asks to approximate when x= 1.1 • You have to plug in x=1.1 into (y+1)= 2(x-1)and approximate f to be…. y+1=2(1.1-1) y=2(0.1)-1 f(1.1)~ -0.8

7. Here is how the tangent line graph looks like. The approximation of f(1.1)…

8. d)

9. Citations