Exam 1 - Review
1. State, in your own words, the definition of the following terms:
2. slope of a line through two points (x, y) and (x, y)
a) function
b) range and domain
c) linear function
d) monomial
e) polynomial
3. Find the slope and y-intercept of the following lines, if possible, and graph them in the
coordinate system provided:
12
5
3
)( xxf
-5y – 2x = 7
y + 5 = 7 3 = x - 1
4. Find the linear equation describing the following lines
5. line with slope 4 containing (-2, -4)
a) line through (3, -1) and (4, -2)
b) line containing (-3, 2) and parallel to the line 2x – 5y = 8
c) line containing (-3, 2) and perpendicular to the line 2x – 5y = 8
d) line through (1, 2) and perpendicular to the line through (-2, -2) and (3, 1)
e) line through (-2, -2) and (3, -2)
f) line through (-2, -2) and (-2, 3)
6. For the following problems, evaluate the given function at the indicated position.
7.
52
3
)(
x
x
xf
- find f(0), f(3), f(-1), and f(a + h)
a)
tttg 45)(
2
- find g(0), g(-1), g(2a), and
h
haghag )()(
(simplify all
answers)
8. Which of the following graphs represent a functions, which ones not? For each graph
representing a function, determine the range and domain of that function.
