1. Graph the following points on the graph and label each one: A(0,-2), B(-2,-1), and C(4,-1).
2. Use your calculator to help you graph y=x3+x2- 2x.
3. Use your calculator to graph the following function and find the four intercepts.
Y = -1/36??3 +5/36??2 +1/2?? - 24.
4. If the graph above is a portion of a complete graph that is symmetric to the y-axis, draw the other "half" of the graph.
5. Identify the equation whose graph is symmetric with respect to the x-axis.
[A] x=4y2-8, [B] y2=3x4-8, [C] 3x2=y, [D] x=¦y+4¦
6. Draw a model of the relation {(-6,-8), (3,-3), (-6,-7), (9,7)}. Is the relation a function? Why or why not?
7. Evaluate the function at the specified values of the independent variable and simplify.
f(x) = 5/9?? + 9 Find f(-9) and f(27)
8. Evaluate the function at the specified values of the independent variable and simplify.
f(x)={-1/2?? if ?? < 3
{2 - 8?? if ?? ≥ 3
}
[A] f(3) [B] f(0) [C] f(1) [D] f(3.9)
9. Find the domain of the function f(x) = √(??-10??)/x2-6??+8.
10. A publishing company estimates that the average cost (in dollars) for one copy of a new scenic calendar it plans to produce can be approximated by the function C(x) = 4.75??+475/?? , where x is the number of calendars printed. Find the average cost per calendar when the company prints 10,000 calendars.
11. Use the Vertical Line Test to determine if the graph below represents y as a function of x
12. Use the graph of the function in #3 and determine the intervals on which it is increasing, decreasing or constant.
13. Determine whether the function is even, odd, or neither.
f(x) = 5x6- 4x2- 9
14. Identify the common basic functions you have studied in section 3.2 that are represented by the graphs in #4 and #11.
15. If f(x) =x2 and h(x) = x2 +2, how has the graph of f been transformed by h?
16. If f(x) = ¦x¦, give the equation of the function that will shift the graph of this equation 3 units to the right and 2 units upward,
17. Find the inverse of the function f(x) = ??-8/3