Rational Inequalities Section 2 9 b Rational Inequalities
Rational Inequalities Section 2. 9 b
Rational Inequalities Determine the values of x that make the given function (a) zero, (b) undefined, (c) positive, (d) negative. Real zeros: x = – 1/2 The function is undefined at x = – 3, 1 The sign chart: Potential Sign Change – 3 – 1/2 1 x
Rational Inequalities Determine the values of x that make the given function (a) zero, (b) undefined, (c) positive, (d) negative. Negative Und. 0 Und. – 3 Positive – 1/2 Negative 1 The function is positive on: The function is negative on: Positive x
Rational Inequalities Solve LCD is (x + 3)(x – 1) This the same as the last example! Solution:
Rational Inequalities Solve Function is undefined if x < – 1 Let Zeros: 3, – 1 Sign Chart: 0 Undefined – 1 0 Negative Solution: 3 Positive x Support Graphically?
Rational Inequalities Solve The function is undefined if x = – 3 Let Zero: 2 Sign Chart: Und. Negative – 3 Solution: 0 Negative 2 Positive x Support Graphically?
Rational Inequalities Solve Let 0 Negative – 3 Solution: 0 Positive 1 Positive Support Graphically? x
Rational Inequalities Solve Let Und. 0 0 Undefined – 1 Negative 0 Negative 4 Positive Solution: x Support Graphically?
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