1001 Algebra Problems.PDF

• ELEMENTARY FUNCTIONS–

676.What is the range of the function f(x) = x^2 – 4?
a.the set of all real numbers excluding 0
b.the set of all real numbers excluding 2 and –2
c.the set of all real numbers greater than or
equal to 0
d.the set of all real numbers greater than or
equal to 4
e.the set of all real numbers greater than or
equal to –4

677.Which of the following is true off(x) = –^12 x^2?

a.The range of the function is the set of all real

numbers less than or equal to 0.

b.The range of the function is the set of all real

numbers less than 0.

c.The range of the function is the set of all real

numbers greater than or equal to 0.

d.The domain of the function is the set of all

real numbers greater than or equal to 0.

e.The domain of the function is the set of all

real numbers less than or equal to  2 .

y

y = g(x)

(5,–4)

(–5,4)

x

1

–5–4–3 –2–1 1 2 345

2

3

4

–4

–3

–2

–1

5

–5

y

y = f(x)

(2,–1)

(5,–2)

(2,2)

(–5,3)

x

1

–5–4 –3–2–1 1 2 345

2

3

4

–4

–3

–2

–1

5

–5

For questions 678–680, refer to the functions fand g, both defined on [–5,5], whose graphs are shown here.

678.The range offis which of the following?
a.[–2,2]∪{3}
b.(–2,–1]∪[0,3]
c.(–2,–1]∪[0,2)∪{3}
d.[–2,2)∪{3}

679.The range ofgis which of the following?
a.[–4,4]
b.[–4,2]∪(2,4]
c.[–4,1]∪(1,4]
d.none of the above

680. 2 f(0) + [f(2)g(4)]^2 =
     a. 18
     b. 10
     c. 8
     d. 16