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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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