Math 115 Lab #12
M. Flashman Fall '07
Operations and Composing Functions.
- Tools for Winplot used in this lab:
Operations and Composing Functions
- Plot graphs with explicit for
- y = p(x) = x^2
- y = q(x) = x-3
- y = h(x) =(x-3)^2
- y = k(x) = x^2 - 3
- Use Two combinations
- use f + g with f = p and g = q to create x^2 + x - 3
- use f - g with f = p and g = q to create x^2 - x + 3
- [Note: This difference measures something graphically. What? when is it 0?]
- use f * g with f = p and g = q to create x^2 ( x -3 )
- use f / g with f = p and g = q to create x^2 /( x -3 )
- When is this quotient 0? When is this quotient undefined?
- use f <- g with f = p and g = q to create h(x)
- When is this composition 0?
- use f <- g with f = q and g = p to create k(x)
- When is this composition 0?
- Find p and q so that h(x) = q(p(x)) = sin(x^2).
- Find p and q so that h(x) = p(q(x)) = (sin(x))^2
- Find p and q so that h(x) = p(q(x)) = ln(x^2 +1)
- Find p and q so that h(x) = p(q(x)) = (ln(x)^2) + 1
End of Lab 12