By Mary Jane Sterling

ISBN-10: 047061840X

ISBN-13: 9780470618400

E-book content material is nearly perfect.

But the influence of formulation exhibiting in Kindle is admittedly fuzzy and unpleasant. it truly is an interference of analyzing.

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**Extra info for Algebra II Essentials For Dummies (For Dummies (Math & Science))**

**Sample text**

Solving basic inequalities To solve a basic linear inequality, first move all the variable terms to one side of the inequality and the numbers to the other. After you simplify the inequality down to a variable and a number, you can find out what values of the variable will make the inequality into a true statement. Solve 3x + 4 > 11 – 4x for x. Add 4x and subtract 4 from each side: 7x > 7. Divide each side by 7: x > 1. The sense stayed the same, because you didn’t multiply or divide each side by a negative number.

The reason you can’t use –2 or 6 is because these numbers result in a 0 in the denominator of the fraction, and a fraction with 0 in the denominator creates a number that doesn’t exist. ✓ h(x) = x3 – 3x2 + 2x – 1: The domain of this function is all real numbers. You don’t have to eliminate anything, because you can’t find a fraction with the potential of a zero in the denominator, and you have no radical to put a negative value into. You write this domain with a fancy R, , or with interval notation as (–∞, ∞).

The words input and output describe what’s happening in the function (namely what number you put in and what result comes out), but the official designations for these sets of values are domain and range. Delving into domain The domain of a function consists of all the input values of the function. ) In other words, the domain is the set of all numbers that you can input without creating an unwanted or impossible situation. Such situations can occur when operations appear in the definition of the function, such as fractions, radicals, logarithms, and so on.

### Algebra II Essentials For Dummies (For Dummies (Math & Science)) by Mary Jane Sterling

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