##### Tools

This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# College algebra: final exam

6. Find the equation of the circle centered at $(-1,-1)$ and passing through the point $(-1,1).$
7. Find the composition \ $h(x)=(g\circ f)(x)$ of the functions $y=f(x)=x^{2}-1$ and $g(y)=3y-1.$ Evaluate $h(1).$
9. Given $f(x)=-(x-3)^{4}(x+1)^{3}$. Find the leading term and use it to describe the long term behavior of the function.
10. The graph of the function $y=f(x)$ is given below. (1) Find its domain. (2) Determine intervals on which the function is decreasing or increasing. (3) Provide $x$-coordinates of its relative maxima and minima. $(4)$ Find its asymptotes.