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Transcript
Name ____________________________________________
MTH 1000
Practice Test #1
1.
Use the Distance Formula to find the distance between the following points:
5,1 and 2,3
2.
Find the center and radius of the circle:
x 2  y 2  10 x  4 y  20  0
3.
Center: (
,
)
Radius:
Find the x and y-intercepts for the following:
x 2  2x  y 3  8  0
x-int:
4.
y-int:
Find the equation of the line (in y  mx  b form) that passes through the
following points:
4,2 and  8,7
5.
Find the equation of the line that passes through the point 10,9 and is
perpendicular to the line y  52 x  2
6.
Give the domain of the following functions:
f x  
x 5
x 2  x 12
g x   200  40 x
7.
Use the functions
f x   x 2  1 and g x  3x  1
to evaluate the following:
f
 g 3 
  2 
f
g
f x  h   f x 
using the function f x  7 x  1
h
8.
Find the Difference Quotient
9.
Are the following graphs functions?
YES / NO
10.
11.
YES / NO
Circle the appropriate symmetry type for each function:
f  x   3x 2  5 x 4  7
EVEN / ODD / NEITHER
f x  
EVEN / ODD / NEITHER
x3
x 1
The number of chairs that a factory can produce depends on w, the number of
workers, according to the following equation: cw  2w 2  3w
Find the average rate of change as the number of workers increases
from w  2 to w  5
12.
Graph the following:
f x   x  3
2
13.
f x   x  1  3
Graph the following piecewise function:
f x    x
 x 2 if x  2
f x    1
 2 x  3 if x  2
(Hint: It may help to graph the pieces separately first.)