Test 1 Mat 190 Worksheet With Answers - Fall 2007 Page 2
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1
213. Graph the line given by x – 2y = 4
14. Find the domains of the functions below:
x
y
2
0
-2
a)
(
)
all reals except -3
f
x
=
3
x
+
4
0
2
-1
x _
b)
(
)
5
f
x
= x
−
c)
(
)
3
5
all real numbers
f
x
= x
−
15. Find the equation of the line having a slope of 1.6 and passing through (0, 6.9). ____y = 1.6x + 6.9______
16. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: 3 (or –3)
b. ∆y: 1 (or –1)
1
c. The slope of the line:
d. The y-intercept of the line:
(0, –3)
3
1
e. The equation of the line: y =
x – 3
3
f. A point on the line other than the y-intercept. Several possibilities:
(6, -1)
(3, -2) (-3, -4) (-6, -5)
17. An internet company charges a one-time fee of $60 to go to a customer’s house to install a cable modem and
the needed software on the customer’s home computer. The monthly charge for the internet service is $39.99
per month. Let C(x) represent the total cost the customer has paid for having the internet service for “x” months.
a) How much will a person have paid for the internet service over a period of a year and a half? $779.82
b) Find the average rate of change of C(x).
c) Find the y-intercept of C(x).
d) Find the equation C(x).
$39.99 per month
(0, 60)
C(x) = 39.99x + 60
18. Determine whether the data in the table below
19. Find the y-intercepts of the following lines:
represents a linear or a nonlinear function.
3
x
y
Non-linear
a) y =
2 −
x
(0, 2)
7
-4
-6
-2
-1
Slopes are different between
b) 7x – 6y = 42
(0, -7)
-1
1
2
6
pairs of points.
5
12
c) 3x = 5y – 15
(0, 3)
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