CHAPTER 5 Test 315
Simplify. Write answers with only positive exponents. Assume that all variables represent
nonzero real numbers.
4. 5.
6.Write in standard form.7.Use scientific notation to simplify.
Write the answer in both scientific notation and standard notation.8.Find each of the following for the functions defined byand(a) (b) (c) (d)9.Find each of the following for the functions defined byand(a) (b) (c)Graph each polynomial function.
12.The number of medical doctors, in thousands, in the United States during the years from
1980 through 2005 can be modeled by the polynomial function defined by
where corresponds to 1980, corresponds to 1981, and so on. Use this model
to approximate the number of doctors to the nearest thousand in each given year. (Source:
American Medical Association.)
(a) 1980 (b) 1995 (c) 2005Perform the indicated operations.
18. 19.
20.
21.If and find each of the following.
(a) (b)22.Use and from Exercise 21to find each of the following.
(a) (b) aƒ
ga b1- 22ƒ
gb1x 2ƒ 1 x 2 g 1 x 21 ƒg 21 x 2 1 ƒg 21 - 22ƒ 1 x 2 =x^2 + 3 x+ 2 g 1 x 2 =x+1,1 x^3 + 3 x^2 - 42 , 1 x- 1216 p^3 - 32 p^2 + 24 p
4 p^232 y+ 13 z-x 2432 y- 13 z-x 2416 x+y 216 x-y 2 13 k+q 2215 x- 3212 x+ 12 12 m- 5213 m^2 + 4 m- 5214 x^3 - 3 x^2 + 2 x- 52 - 13 x^3 + 11 x+ 82 + 1 x^2 - x 2x= 0 x= 1ƒ 1 x 2 =0.139x^2 +14.16x+465.9,ƒ 1 x 2 =- 2 x^2 + 3 ƒ 1 x 2 =-x^3 + 31 ƒg 21 - 22 1 ƒg 21 x 2 1 gƒ 21 x 2ƒ 1 x 2 = 3 x+ 5 g 1 x 2 =x^2 +2.ƒ 142 1 ƒ+g 21 x 2 1 ƒ-g 21 x 2 1 ƒ-g 21 - 22ƒ 1 x 2 =- 2 x^2 + 5 x- 6 g 1 x 2 = 7 x-3.2,500,000*0.00003
0.05*5,000,000
9.1* 10 -^7
a 1 - 2 x^4 y-^3201 - 4 x-^3 y-^8224 p^2
q^4b3
a6 p^8
q-^8b- 2
36 r-^41 r^22 -^3
6 r^413 x-^2 y^32 -^214 x^3 y-^42