NAME _ _ _ _ _ _ _ _ _ __
DATE------'--- PERIOD_.---
Chapter 3 Test. Form 2C
Determine whether the graph of each equation is symmetric with
respect to the origin, the x-axis, they-axis, the line y = x, the line
y = -x, or none of these.
l.y =
2lxl
2.y = x 3 - x
3. Determine whether the function f(x) = x 2 + 2 is odd, even,
or neither.
1. - - - - - 2. - - - - - - 3. _ _ _ _ _ __
4. Describe the transformation relating the graph of
y = (x -1)2 to its parent function,y = x 2•
4. _ _ _ _ _ __
5. Use transformations of the parent graphp(x) = x 3
to sketch the graph ofp(x) = (x + 2)3 - 1.
5.
pjbn
X
y
6. Graph the inequality y
>
x2
-
6.
1.
X
7. Solve jx- 4j
<
7. _ _ _ _ __
8.
'·
Find the inverse of each function and state whether the
inverse is a function.
8. f(x) = x 2
9. f(x)
=x
3 -
1
8. - - - - - - 9. _ _ _ _ __
10. Graph j(x) = - 2X + 4 and its inverse. State whether the
inverse is a function.
10. _ _ _ _ _ __
f "'
X
©Glencoe/McGraw-Hill
65
Advanced Mathematical Concepts
DATE _ _ _ _ __
NAME _ _
Chapter 3 Test. Form 2C
PERIOD _ __
(continued)
Determine whether each function is continuous at the given
x-value. If discontinuous, state the type of discontinuity (point,
jump, or infinite).
2
={x +1ifx<O. =O
11 • f()
x
-xifx~O ,x
11
12.j(x) = x+S ·x = -3
x2 + 9'
12. _ _ _ _ __
13. Describe the end behavior ofy
=x
4
-
"-------
13. _ _ _ _ __
x2 •
14. Locate and classify the extrema for the graph of
y = -x4- 2x2.
15. The function j(x) = x 3 - 3x has a critical point when x = 0. 15. - - - - - - Identify the point as a maximum, a minimum, or a point of
inflection, and state its coordfuates.
16. Determine the vertical and horizontal asymptotes for the
4 .
graph ofy_ = x2
16. _ _ _ _ _ __
17. Find the slant asymptote for y = x2; _: ~ 2 .
17. _ _ _ _ _ __
18. Sketch the graph of y = x2 :_ 4 ~
18.
x
-
25
y
X
19. If y varies directly as the square of x, andy = 200
whenx 5, findywhenx = 2.
19. _ _ _ _ _ __
20. Ify varies inversely as the cube root of x, andy = 10
whenx = 27, findy whenx = 8.
20. _ _ _ _ _ __
=
Bonus Determine the value of k such that
f(x) = 3x2 + kx - 4 is an even function.
©Glencoe/McGraw-Hill
66
Bonus:
Advanced Mathematical Concepts