Test 1

MAT 1101

Fall 2009

Name ____________________________

Simplify all answers and show your work!

1. The range of a relation tells what values __y__ can be.

2. “f(x)” is another name for ___ y _____.

3. The domain of a relation tells what values __x__ can be.

4.Write “f(4) = 8” as an ordered pair. __(4, 8)_

5. What number can we not divide by? __0___.

6. What numbers can we not take the square root of in the real numbers? _____negatives

_

7. Given U = {1, 2, 4, 6, 8, 9, 10, 11, 14}, A = {1, 4, 8, 9} and B = {8, 9, 10, 11}, find the following:

a) Draw the Venn diagram

b)

A ∪

B

c)

A ∩

B

that represents the sets.

{8, 9}

See diagram

{1, 4, 8, 9, 10, 11}

8. Given the relation {(–2, 2), (3, –1), (5, 6), (–4, –3)}, find the following:

a) Domain: ___{-2, 3, 5, -4}_ __ b) Range: ___{2, -1, 6, -3}____

c) Maximum of x-values: __5__

d) Minimum of x-values: __-4__

e) Maximum of y-values: __6__

f) Minimum of y-values: __-3__

g) Make a line graph of the relation on the grid to the right.

see graph

9. Is the relation {(1, 5), (–7, 5), (2, 8), (3.2, 1)} a function? Why or why not? Yes. Each x-value in the______

relation maps to a different y-value.____________________________________________________________

2

10. Graph the line given by y =

x – 3

11. Find the slope of the following lines:

5

5

a) 5x + 7y = 38

−

x

y

7

-5 -5

0

-3

5

-1

b) y = 7.2 – 9.8x

– 9.8

c) f(x) = 8x – 9.16

8

see graph

d) Passing through (–5, 7) and (–2, 2).

5

−

3

12. Given f(x) = 7 – 2x:

a) Find f (5)

b) Find f (0)

c) Find f (–4)

–3

7

15

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