Mat 190 Test 1 Worksheet With Answers - 2008 Page 2
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1
213. Find the domains of the functions below:
8
a)
( f
) x
=
x
+
3
b) f(x) = 3x – 8
c)
( f
) x
=
x
−
6
x ≥ -3
all real numbers
all reals except 6
14. Find the equation of the line with the following slopes and through the given points:
2
7
a) m = –8.5, (0, 7.2)
b) m =
, (0, 4.9)
c) m = 5, (0,
−
)
9
4
2
7
y = -8.5x + 7.2
y =
x + 4.9
y = 5x
−
9
4
15. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: _+3__
b. ∆y: __+2__
2
c. The slope of the line:
d. The y-intercept of the line __-5__
3
2
e. The equation of the line: y =
x – 5.
3
f. A point on the line other than the y-intercept. (-3, -7), (3, -3), (6, -1),
(9, 1), others.
2
16. Graph the line given by y =
x – 3
17. Find the y-intercepts of the following lines:
3
4
a) y =
−
x
−
2.4
___(0, -2.4)___
x
y
7
-6
-7
-3
-5
0
-3
b) 7x + 8y = 56
____(0, 7)____
3
-1
6
1
c) 2x = 4y + 8
___(0, -2)____
see graph
18. Given f(x) = 3x – 11:
a) Find f(1)
b) Find f(0)
c) Find f(–5)
-8
-11
-26
19. Write the following in slope-intercept form.
a) 4x + 5y = 20
b) 3x – 8y = 24
c) 7x + 2y = 21
4
3
7
21
y =
−
x
+
4
y =
x
−
3
y =
−
x
+
5
8
2
2
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