1001 Algebra Problems.PDF

For questions 681–684, refer to the graphs of the fol-
lowing fourth-degree polynomial function y= p(x).

681.The zeros ofp(x) are x=
a.–3, 0, 2
b.–3, 1, 3
c.–3, 0, 1, 2, 3
d.none of the above

682.Which of the following is the range ofp(x)?
a.
b.[–1,4]
c.[–1,∞)
d.[–4,4]

683.Which of the following is the domain ofp(x)?
a.
b.[–1,4]
c.[–1,∞)
d.[–4,4]

684.Which of the following is the solution set for

the inequality –1p(x) 0?

a.(1,3)

b.[1,3]∪{–3}

c.(1,2)∪(2,3)

d.[1,2)∪(2,3]∪{–3}

685.The range of the function f(x) = ^21 x–+ x^1 is which

of the following?

a.(–∞,1)∪(1,∞)

b.(–∞,–2)∪( –2,∞)

c.(–∞,–^12 )∪(–^12 ,∞)

d.

For questions 686–688, use the following functions:

f(x) = – (2x–(–1 –x^2 )) g(x) = 3(1 + x) h(x) = 1+^1 x 2

686.Which of the following is equivalent to?

a.–g(x)

b.g(x)

c.–3g(x)

d. 3 g(x)

687.What is the domain of the function 2g(x)h(x)?

a.(–∞,–1)∪(–1,1)∪(1,∞)

b.(–∞,–1)∪(1,∞)

c.(–∞,–1)∪(–1,∞)

d.the set of all real numbers

688.Which of the following is equivalent to

3 f(x) – 2xg(x) – h(^1 x)?

a.–10x^2 + 6x+ 2

b.–2(5x^2 + 6x+ 2)

c. 10 x^2 + 12x+ 4

d.2(5x+2)(x+ 1)

^9 f(x)

g(x)

y

y = p(x)

(2,–1)

x

1

–4 –3 –2 –1 1 2 34

2

3

4

–4

–3

–2

–1

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