Extend 11-3: Graphing Technology Lab Simplifying Rational Expressions
Simplify each expression. Then verify your
answer graphically. Name the excluded values.
1. SOLUTION: Graph the original expression and the simplified
expression using a graphing calculator. The two
graphs should overlap as shown below.
2
Exclude the values for which x + 10x + 21 equals 0.
So, x ≠ −7 and x ≠ −3.
2. SOLUTION: Simplify each expression. Then verify your
answer graphically. Name the excluded values.
1. SOLUTION: Graph the original expression and the simplified
expression using a graphing calculator. The two
graphs should overlap as shown below.
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Graph the original expression and the simplified
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Extend 11-3: Graphing Technology Lab Simplifying Rational Expressions
So, x ≠ −7 and x ≠ −3.
So, x ≠ −9 and x ≠ 2.
3. 2. SOLUTION: SOLUTION: Graph the original expression and the simplified
expression using a graphing calculator. The two
graphs should overlap as shown below.
Graph the original expression and the simplified
expression using a graphing calculator. The two
graphs should overlap as shown below.
[−15, 10] scl: 1 by [−10, 10] scl: 1
2
Exclude the values for which x + 7x − 18 equals 0.
2
Exclude the values for which 3x + 9x + 6 equals 0.
So, x ≠ −9 and x ≠ 2.
3. So, x ≠ −1 and x ≠ −2.
SOLUTION: 4. a. Simplify
.
b. How can you use the TABLE function to verify
that the original expression and the simplified
expression are equivalent?
c. How does the TABLE function show you that an
x-value is an excluded value?
SOLUTION: Graph the original expression and the simplified
expression using a graphing calculator. The two
graphsManual
should
overlapbyas
shown below.
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- Powered
Cognero
a.
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Extend
11-3: Graphing Technology Lab Simplifying Rational Expressions
So, x ≠ −1 and x ≠ −2.
4. a. Simplify
.
b. How can you use the TABLE function to verify
that the original expression and the simplified
expression are equivalent?
c. How does the TABLE function show you that an
x-value is an excluded value?
SOLUTION: a.
b. Sample answer: Examine the values and verify that
they are identical.
c. The function is undefined at x = 0. Thus, the
calculator displays ERROR.
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