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College Algebra Worksheet (1) Graphs of Basic Functions

For each function below, calculate and plot several points and graph it. For example, for f (x) = x you may include the points (0; 0), (1; 1) and (4; 2)). Q1. f (x) = x.

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

Q2. f (x) = x2.

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x



Q3. f (x) = x3. Q4. f (x) = |x|.

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x



 Q5. f (x) = x.

Q6.

f (x)

=

1 x

.

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x

y = f (x)

6

5

4

3

2

1

-6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6x



 Q6. f (x) = 32 - x2.

y = f (x)

3

2

1

-3 -2 -1 0 -1 -2 -3

1

2

3x



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