Functions Worksheets With Answers
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1
2Test 1
MAT 1101
Spring 2009
Name ____________________________
Simplify all answers and show your work!
1. What number can we not divide by? __0 _.
2. Write “f(–9) = 5” as an ordered pair. _(-9, 5)__
3. The range of a relation tells what values _y__ can be.
4. “f(x)” is another name for ___ y ___.
5. The domain of a relation tells what values __x__ can be.
6. What numbers can we not take the square root of in the real numbers? ___negatives _
7. 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__.
8. Given U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 5, 7, 8} and B = {2, 3, 4, 5, 7}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
{1, 2, 3, 4, 5, 7, 8}
{5, 7}
See diagram
9. Given the relation {(–5, 3), (3, 4), (–2, –3), (0, –5)}, find the following:
a) Domain: __{-5, 3, -2, 0} __ b) Range: _____{3, 4, -3, -5} ____
c) Maximum of x-values: __3 __
d) Minimum of x-values: __-5__
e) Maximum of y-values: __4___
f) Minimum of y-values: ___-5__
g) Make a line graph of the relation on the grid to the right.
10. Is the relation {(3, 7), (2.1, –5.2), (2.2, 6), (3.1, 0)} a function? Why or why not? The relation is a function
because each x-value maps to exactly one y-value.
3
11. Graph the line given by y =
−
x + 3
12. Find the slope of the following lines:
4
7
a) 7x + 5y = 18
−
x
y
5
-8
9
-4
6
b) f (x) = 1.3x + 6.8
1.3
0
3
4
0
8
-3
c) y = –7 + 3.1x
3.1
d) Passing through (3, –6) and (–1, 1).
7
−
4
See graph above
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