This is not a binding contract, only a guideline for study.
Questions are given in entirety or outlined.
If applicable, the section number and block of exercises similar to it are given in parenthesis.
1. For the points a = (–1,2) and b = (5, –6)
a. Find the distance between them (ver.2 1.1, 37-40 / ver.3 1.1, 39-42)
b. Find the midpoint of the segment connecting them (ver.2 1.1, 55-64 / ver.3 1.1, 57-66)
c. Find the slope of the line connecting them (ver.2 1.3, 9-22 / ver.3 1.3 9-26)
d. Find the slope intercept equation for the line connecting them
(ver.2 1.4, 27-44 / ver.3 1.4, 19-36)
e. Find the equation of the horizontal line through point a (ver.2 1.4, 45-48 / ver.3 1.4, 49-52)
f. Find the equation of the vertical line through point b (ver.2 1.4, 45-48 / ver.3 1.4, 49-52)
g. Find the equation of the line through a and parallel to the line y = 2x + 1
(ver.2 1.4, 57-64 / ver.3 1.4, 61-68)
h. Find the equation of the line through b and perpendicular to the line y = 2x + 1
(ver.2 1.4, 57-64 / ver.3 1.4, 61-68)
i. Graph the equation found in part (d) (ver.2 1.1, 15-36 / ver.3 1.1, 21-38)
2. Describe what is meant by the 'vertical line test' and how it works
3. Find the domain restriction for the function 1
() 25
fx x
=
+
(ver.2 1.2, 35-46 / ver.3 1.2, 43-54)
4. Define absolute value of x
5. For the piecewise function
13
() 1 3 5
25
xx
fx x
xx
+≤
⎧
⎪
=− <≤
⎨
⎪>
⎩
, find f(5) (ver.2/ver.3 1.5, 35-38)
6. For 2
125
( ) and ( )
22
xx
fx gx
x
++
==, find f( g(x) ) and its domain
(ver.2 1.6, 61-78 / ver.3 1.6, 69-90)
7. Determine whether the function 4
()
f
xx= is odd, even or neither
(ver.2 1.7, 31-40 / ver.3 1.7, 39-48)
Math 124
Chapter 1 Review