This is a continuation of project #5,
First, define and graph a functionf with the formula f(x) = (.9)x * cos(x). (The * is multiplication.)
Remember,
you ALWAYS use radians in calculus.
Find
a formula for the function g whose graph is a straight line intersecting
the graph of f at the points whose x-coordinates are 0 and
3/2.
Finally, graph each of the following pairs of equations, and carefully describe the effect of the extra 2 on the points at which the two graphs intersect and on the slope of the line. Use complete English sentences and try to avoid using pronouns.
1. y = f(x) + 2 y = g(x) + 2
2. y = f(x) - 2 y = g(x) - 2
3. y = f(x+2) y = g(x+2)
4. y = f(x-2) y = g(x-2)
5. y = 2f(x) y = 2g(x)
6. y = -2f(x) y = -2g(x)
7. y = f(2x) y = g(2x)
8.
y = f(-2x)
y = g(-2x)
You may find it useful to repeat the process with different definitions for f and g.