Name: ___________________________________ Date: ______________
Page 1
1. Which of the following is the correct graph of
A)
B)
C)
D)
Page 2
?
E)
Page 3
2. Which of the following is the correct graph of y = 2x – x3 ?
A)
B)
C)
D)
E)
Page 4
3. Find all intercepts:
y = x2 – 3x – 40
A) x-intercept: (8, 0); y-intercept: (0, –40)
B) x-intercepts: (–5, 0), (8,0); y-intercept: (0, –40)
C) x-intercept: (40, 0); y-intercepts: (0, 5), (0, –8)
D) x-intercepts: (–5, 0), (8,0); y-intercepts: (0, –40), (0, 40)
E) x-intercepts: (–5,0), (8,0); y-intercepts: (0, 5), (0, –8);
4. Find all intercepts:
y = 81x – x3
A) x-intercept: (0, 0); y-intercepts: (0, 0), (0, –9), (0, 9)
B) x-intercepts: (–9, 0), 9; y-intercept: (0, 0)
C) x-intercepts: (–9, 0), (9, 0); no y-intercept
D) x-intercepts: (0, 0), (–9, 0), (9, 0); y-intercept: (0, 0)
E) x-intercepts: (0, 0), (–9, 0), (9, 0); no y-intercept
5. Find all intercepts:
y = 81x – x3
A) x-intercept: (0, 0); y-intercepts: (0, 0), (0, –9), (0, 9)
B) x-intercepts: (–9, 0), 9; y-intercept: (0, 0)
C) x-intercepts: (–9, 0), (9, 0); no y-intercept
D) x-intercepts: (0, 0), (–9, 0), (9, 0); y-intercept: (0, 0)
E) x-intercepts: (0, 0), (–9, 0), (9, 0); no y-intercept
Page 5
6. Sketch the graph of the equation.
A)
B)
C)
D)
Page 6
E) none of the others
7. Find the points of intersection of the graphs of the equations:
!
A)
B)
C)
D)
E)
Page 7
8. Estimate the slope of the line from the graph.
A)
B) 3
C) 6
D)
E)
Page 8
9. Sketch the line passing through the point
with the slope
A)
B)
C)
Page 9
D)
E)
Page 10
10. Find the slope of the line passing through the pair of points.
A)
B)
C)
D)
E) 0
11. Find the slope of the line passing through the points
A)
B)
C)
D)
E)
16
32
48
–32
–16
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.
12. If a line has slope
and passes through the point
following points does the line also pass?
A)
through which of the
B)
C)
D)
E)
13. A moving conveyor is built to rise 4 meters for every 7 meters of horizontal change. Find
the slope of the conveyor.
A)
B)
C)
D)
E) 0
14. Find the slope of the line
.
A)
B)
C)
D)
E)
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15. Find an equation of the line that passes through the point (–11,0) and has the slope m that
is undefined.
A) y = –11
B) x = –11
C) y = 0
D) x = 0
E) y = –11x
16. Find an equation of the line that passes through the point (3,–2) and has the slope
A)
B)
C)
D)
E)
17. Find an equation of the line that passes through the points (33,–2) and (–33,–8).
A)
B)
C)
D)
E)
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.
18. Sketch a graph of the equation
A)
B)
C)
Page 14
D)
E)
Page 15
19. Let
A)
B)
C)
D)
E)
. Then simplify the expression
.
0
–4
–5
–8
undefined
20. Find the domain and range of the function
A) domain:
range:
B) domain:
range:
C) domain:
range:
D) domain:
range:
E) none of the others
Page 16
.
21. Evaluate the function
at
A)
B)
C)
D)
E)
22. An open box of maximum volume is to be made from a square piece of material 30
centimeters on a side by cutting equal squares from the corners and turning up the sides (see
figure). Write the volume V as a function of x, the length of the corner squares.
A)
B)
C)
D)
E)
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