Mat 190 Test 1 Worksheet With Answers - 2008 Page 2
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1
213. Find the domains of the functions below:
3
2
a)
( f
) x
=
x 3
+
x 2
−
8
b)
( f
) x
=
x
−
2
c)
( f
) x
=
x
+
1
x _
all real numbers
all real numbers except -1
14. Find the equation of the line having the following properties:
a) slope of 1.8 and passing through (0, -2.1).
y = 1.8x – 2.1
1
1
b) slope of
−
and passing through (0, 3).
y =
−
x + 3
6
6
1
1
c) slope of 2 and passing through (0,
−
).
y = 2x
−
2
2
15. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: _+4 (or -4)_
b. ∆y: _+3 (or -3)_
3
c. The slope of the line
d. The y-intercept of the line _-4__
4
3
e. The equation of the line y =
x – 4
4
f. A point on the line other than the y-intercept. Answers will vary.
(-4, -7), (0, -4), (4, -1), (8, 2) are all possibilities.
16. Determine whether the data in the table below
17. Find the y-intercepts of the following lines:
represents a linear or a nonlinear function.
2
x
y
a) y =
−
x
+
5
____(0, 5)_____
3
-2
-7
m = 2
-1
-5
m = 3
b) 2x – 5y = 15
___(0, -3)_____
1
1
m = 2
2
3
m = 2
4
7
c) 4x = 3y + 24
____(0, -8)____
slopes are different Æ nonlinear function
18. Given f(x) = –4x – 9:
a) Find f(2)
b) Find f(–3)
c) Find f(0)
–17
3
–9
19. Write the following in slope-intercept form.
a) 3x + 5y = 15
b) 2x – 3y = 6
c) 4x – 7y = 28
3
2
4
y =
−
x
+
3
y =
x
2 -
y =
x
−
4
5
3
7
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