Chapter 1 review 
1. Sketch the graph of

2. Complete the table, then sketch the graph of the equation by plotting points.

3. Identify the x- and y-intercepts.

[A] x-intercepts: 
y-intercept: 

[B] x-intercept: 
y-intercepts: 

[C] x-intercept: 
y-intercepts: 

[D] x-intercepts: 
y-intercept: 

4. Find the x- and y-intercepts of the equation 

5. Identify the equation whose graph is symmetric with respect to the 

[A] 	[B] 	[C] 	[D] 
6. The graph below is a portion of a complete graph. Sketch the complete graph assuming it is symmetric with respect to the 

7. Determine whether the graph of  is symmetric with respect to the x-axis, y-axis, and/or origin.

8. Which equation does this graph represent? 

[A] 		[B] 

[C] 		[D] 

9. Find the center and radius of the circle with the given equation.

[A] 	[B] 	[C] 	[D] 

10. Find the equation in standard form of the circle where
A

–

,

–

2

2

 

b

g

and
B

10

10

,

 

b

g

are endpoints of a diameter.

11. Use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.)

12. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.

[A] 		[B] 	[C] 	[D] 

13. Find the slope-intercept form of the equation of the line passing through the points.

[A] 	[B] 		[C] 	[D] 

14. Find the slope-intercept form of the equation of the line through the pointparallel to the line .

[A] 	[B] 	[C] 	[D] 

15. Determine whether the graphs of the equations are parallel, perpendicular, or neither.

[A] Parallel	[B] Perpendicular	[C] Neither

16. Determine which set of ordered pairsrepresents y as a function of x.

[A] 

[B] 

[C] 

[D] 

17. Determine whether the equation represents y as a function of x.

 Evaluate the function at the specified value(s) of the independent variable and simplify.

18.. 

[A] 		[B] 	[C] 	[D] 

 Evaluate the function at the specified value(s) of the independent variable and simplify.

19.  This is NOT a multiple choice problem.  Evaluate all four problems.

 Find the zeros of the function by factoring or algebraically.

20. 

[A] –3.44, 0.44	[B] –4.37, 1.37	[C] –1.37, 4.37	[D] –0.44, 3.44

Find the zeros of the function by factoring or algebraically.

21. 

[A] 	[B] 	[C] 	[D] 

22. Determine the intervals on which the function is increasing, decreasing, or constant.

[A] 

[B] 

[C] 

[D] 

23. Identify the function that is neither odd nor even. 

[A] 

[B] 

[C] 

[D] 

24. Use the graph to determine if the function is even, odd, or neither.

25. Find the graph of the function.

[A] 					[B] 

[C] 							[D] 

26. Sketch the graphs of the following functions.
(a) 
(b) 
(c) 

27. Identify the functionthat is the reflection of  in the-axis.

[A] 	[B] 	[C] 	[D] 

28. Find the inverse of the function.

[A] 	[B] 	[C] 	[D] 

Find the inverse of f informally. Verify thatand

29. 

30. 

31. Use the Horizontal and Vertical Line Tests to determine which of the following is a function that has an inverse.
(i)   (ii) 
(iii)   (iv) 

[A] ii and iv only	[B] i, ii, and iv only	[C] iv only	[D] i and iv only

Reference: [1.1.1.3]
[1] 

Reference: [1.1.1.4]
[2] 

Reference: [1.1.2.6]
[3] [A]

Reference: [1.1.2.7]
[4] x-intercept(s): 
y-intercept:

Reference: [1.1.3.10]
[5] [B]

Reference: [1.1.3.11]
[6] 

Reference: [1.1.3.12]
[7] 

Reference: [1.1.4.13]
[8] [A]

Reference: [1.1.4.14]
[9] [A]

Reference: [1.1.4.16]
[10] 

Reference: [1.2.1.21]
[11] [A]

Reference: [1.2.1.22]
[12] [D]

Reference: [1.2.1.23]
[13] Answers may vary. Sample answer: , , 

Reference: [1.2.3.29]
[14] [B]

Reference: [1.2.3.30]
[15] [A]

Reference: [1.2.4.33]
[16] [B]

Reference: [1.2.4.34]
[17] [C]

Reference: [1.3.1.41]
[18] [C]

Reference: [1.3.1.44]
[19] Yes

Reference: [1.3.2.46]
[20] [D]

Reference: [1.3.2.47]
[21] (a) 4   (b)    (c)    (d) 3.8

Reference: [1.4.2.61]
[22] [C]

Reference: [1.4.2.62]
[23] [B]

Reference: [1.4.3.66]
[24] [D]

Reference: [1.4.4.69]
[25] [B]

Reference: [1.4.4.72]
[26] Even

Reference: [1.5.3.82]
[27] [B]

Reference: [1.6.1.92]
[28] (a)     (b)     
(c) 

Reference: [1.6.2.93]
[29] [B]

Reference: [1.8.1.113]
[30] [D]

Reference: [1.8.1.115]
[31] 

Reference: [1.8.1.116]
[32] 

Reference: [1.8.2.117]
[33] [A]