Test 1 MAT 190 Summer 2008 Name ____________________________
Simplify all answers and show your work!
1. “f(x)” is another name for __y__. 2. The domain of a relation tells what values _x_ can be.
3. What number can we not divide by? __0__. 4. The range of a relation tells what values __ y__ can be.
5. What numbers can we not take the square root of in the real numbers? ___negative numbers___
6. In a word problem, the “average rate of change” is the same as the _slope__ and the starting point is
the same as the ___y-intercept____.
7. Write “f(-2) = –8” as an ordered pair. _(-2, -8)__
8. Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 4, 5, 9} and B = {2, 3, 4, 6, 7}, find the following:
a) Draw the Venn diagram b)
B
A
∩
c)
B
A
∪
that represents the sets.
see diagram {2, 4} {1, 2, 3, 4, 5, 6, 7, 9}
9. Given the relation {(3, 1), (1, -4), (-2, -5), (-5, 6)}, find the following:
a) Domain: _{3, 1, -2, -5}_ b) Range: ___{1, -4, -5, 6}____
c) Maximum of x-values: __3__ d) Minimum of x-values: __-5___
e) Maximum of y-values: __6__ f) Minimum of y-values: __-5___
g) Make a line graph of the relation on the grid to the right.
see graph
10. Is the relation {(3, 5), (4, 8), (-3, 5), (2.1, 6)} a function? Why or why not? _Yes. Each x-value in the
relation maps to a different y-value.
11. Graph the line given by y =
3
1
−x + 4 12. Find the slope of the following lines:
a) x2.75y
−
−
=
m = -7.2
b) 4.1x7)x(f
−
=
m = 7
c) 4x – 3y = 13 m =
3
4
see graph d) Passing through (2, 5) and (-1, 0).
m =
3
5
x y
-6
6
-3
5
0 4
3 3
6 2
