Functions Worksheets With Answers Page 2
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1
213. Find the domains of the functions below:
2
2
a)
( f
) x
=
b) f (x) = 2x
– 5x + 1
c)
( f
) x
=
x
−
2
x
+
8
all real numbers except – 8
all real numbers
x ≥ 2
14. Given f(x) = –2x – 3:
a) Find f (7)
b) Find f (0)
–17
–3
15. Find the equation of the line having the following properties:
5
3
a) m = –8.3, (0, 3.9)
b) m =
, (0, 8)
c) m = 4,
, 0
8
4
5
3
y = -8.3x + 3.9
y =
x + 8
y = 4x +
8
4
16. Given the graph of the line below, find the following. (Assume each tick mark is “1”.)
a. ∆x: __3 _
b. ∆y: __-5__
5
c. The slope of the line
−
d. The y-intercept of the line __(0, 6) _
3
5
e. The equation of the line y =
− x + 6
3
f. A point on the line other than the y-intercept. _(3, 1) _
17. Graph the line given by 3x + 4y = –12
18. Find the y-intercepts of the following lines:
x
y
4
1
1
a) y =
−
x
+
, 0
0
-3
7
3
3
-4
0
b) –2x + 9y = 27
____(0, 3)______
26
c) 4x = 7y + 26
, 0
−
7
19. Write the following in slope-intercept form.
a) 6x – 2y = 18
b) 5x + 2y = 19
c) –3x + 8y = 13
5
19
3
13
y = 3x – 9
y =
− x
+
y =
+
x
2
2
8
8
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