Label each of the following statements as true or false. If false, replace the u

Question

Label each of the following statements as true or false. If false, replace the underlined word(s) or expression to produce a true statement. 7. nut The rational expression-3x3 + 5x + 2 can be rewritten as 3x+ . -1 8. vu The set of rational expressions is closed under addition subtraction. expression. An apparent solution to a rational equation is considered to be an extraneous solution if substituting the apparent solution into the equation results in division by zero. 9. 10 The point at which a graph stops increasing and begins decreasing is called a 11. A function fis an exen function if) for all in its domain. (over) 1083 35

Explanation / Answer

7. False statement. (x2-1) = (x+1)(x-1). Hence x+2 cannot be the denominator of the remainder when we divide -3x3+5x+2 by x2-1.

8. The statement is True. ( These are the properties of rational numbers).

9. True statement. An extraneous solution is a solution that does not satisfy the original form of the equation because it produces untrue statements or is an excluded value that make a denominator equal to 0.

10. False statement. The description given is that of a local maximum.

11. False statement. The description given is that of an odd function.

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