Test 1 Mat 1101 Worksheet With Answer Key - Wake Technical Community College (Wake Tech) - Fall 2009 Page 2
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1
213. 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
all real numbers
x ≥ –7
all real numbers except 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
y = 3.9x + 5.6
3x + 7y = –1
3x + y = 16
3
1
or
y =
− x
−
or
y = –3x + 16
7
7
15. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: ___+4__
b. ∆y: ___+3__
3
c. The slope of the line
d. The y-intercept of the line _(0, -4)__
4
3
e. The equation of the line
y =
x – 4
4
f. A point on the line other than the y-intercept. _(-8, -10) ,
(-4, -7)_, (4, -1) , (8, 2) , various others______
16. Graph the line given by 2x – 4y = 12
17. Find the y-intercepts of the following lines:
x
y
5
a) 5x + 6y = 10
, 0
0
-3
3
6
0
7
10
10
b) y =
x
+
, 0
5
3
3
4
c) 5x = 12 – 9y
, 0
3
see graph
18. Write the following in slope-intercept form.
a) 8x + 5y = 32
b) 2x = 9y – 15
c) –7x – 15y = 11
8
32
2
5
7
11
y =
− x
+
y =
x
+
y =
−
x
−
5
5
9
3
15
15
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