1. Find the average rate of change of f(x)=x^3-9x+9:
a) from -8 to -2
b) from -1 to 1
c) from 1 to 4
a) What is average rate of change of f (x) =x^3-9x+9 from -8 to -2?
2. The function f is defined as follows
f(x) = {4+2x if x<0
{x^2 if x>0
a) Find the domain of the function
b) Locate any intercepts
c) Graph function
d) Based on graph find range
e) Is f continuous on its domain?
a) The domain of the function f is ____.
3. Write the function whose graph is the graph of y=sqrt x, but is shifted to the left 3 units y=____.
4. Write the function whose graph is the graph of y=|x|, but is shifted down 8 units y=____.
5. Write the function whose graph is the graph is the graph of y=(x+4)^2, but is reflected about the y- axis y=____.
6. Write the function whose graph is the graph of y=x^2 but horizontally strectched by a factor of 8; y=____.