Math Test 1 Worksheet - Discrete Mathematics For Computing, Augusta Technical College, Fall 2009 Page 2

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13. Find the domains of the functions below:
x
3
2
b) f (x) = 7x
– 15x
+ x + 4
a)
f
(
x
)
= x
+
7
c)
f
(
x
)
=
x
8
14. Find the equation of the line having the following properties:
3
a) m = 3.9, (0, 5.6)
b) m =
, (2, –1)
c) Through points (5, 1) and (3, 7)
7
15. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: _______
b. ∆y: ______
c. The slope of the line _______ d. The y-intercept of the line ______
e. The equation of the line _______________.
f. A point on the line other than the y-intercept. ________
16. Graph the line given by 2x – 4y = 12
17. Find the y-intercepts of the following lines:
x
y
a) 5x + 6y = 10
_______________
7
10
b) y =
x
+
_______________
5
3
c) 5x = 12 – 9y
_______________
18. Write the following in slope-intercept form.
a) 8x + 5y = 32
b) 2x = 9y – 15
c) –7x – 15y = 11

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