Calculus Volume 1

Chapter 1 | Functions and Graphs

29

1.1 EXERCISES For the following exercises, (a) determine the domain and the range of each relation, and (b) state whether the relation is a function. 1. x y x y

4.

x y

x y

1

1

5

1

2

1

6

1

−3 9

1

1

3

1

7

1

−2 4

2

4

4

1

−1 1

3

9

0

0

5.

x y

x y

2.

3

3

15 1

y

x

x y

5

2

21 2

−3 −2 1

1

8

1

33 3

−2 −8 2

8

10 0

−1 −1 3

−2

0

0

6.

y

x

x y

3.

−7 11 1

−2

x y

x y

−2 5

3

4

1

−3 1

1

−2 1

6

11

2

−2 2

2

0

−1

3

−1 3

3

0

0

For the following exercises, find the values for each function, if they exist, then simplify. a. f (0) b. f (1) c. f (3) d. f (− x ) e. f ( a ) f. f ( a + h ) 7. f ( x ) =5 x −2

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