College Algebra, 4th Edition

Cumulative Review Exercises Chapters P–4

1. Find the x- and y-intercepts of the graph of the equation $x^2+{(y-1)}^2=1.$ Check for symmetry with respect to both axes and the origin.

2. Graph the equation $y=x^3.$

3. Find the center and radius of the circle $x^2+2x+y^2-4y-20=0.$ Graph the circle.

4. Write the slope–intercept form of the equation of the line that passes through $(-2,4)$ and is perpendicular to the line $2x+3y=17.$

5. Find the domain of $f(x)=\log {\displaystyle \frac{x-2}{x+3}}.$

6. Evaluate the function $f(x)=\{\begin{array}{ll}2x-3,& x<1\\ 2x^2+1,& x\ge 1\end{array}$ at each value specified.

   1. $f(-2)$

   2. f(0)

   3. f(3).

7. Identify the basic function and use transformations to sketch the graph of the function $f(x)=3\sqrt{x+1}-2.$

8. Let $f(x)=3\sqrt{x}$ and $g(x)=-{\displaystyle \frac{1}{x}}.$

   Find and write the domain of $(f\circ g)(x)$ in interval notation.

9. Determine whether the function has ...