1001 Algebra Problems.PDF

• ELEMENTARY FUNCTIONS–

690.Which of the coordinate planes shows the
graph of a function that has a range that con-
tains negative values?
a.A
b.B
c.D
d.Band D
e.A, B,and D

691.Which of the coordinate planes shows the graph of

a function that has a domain of all real numbers?

a.B

b.D

c.E

d.B andD

e.B andE

692.Which of the coordinate planes shows the
graph of a function that has the same range as
its domain?
a.B andC
b.C andD
c.B andD
d.B andE
e.D andE

693.Of the equations graphed on the coordinate
planes, which function has the smallest range?
a.A
b.B
c.C
d.D
e.E

694.Simplify f(2y– 1) when f(x) = x^2 + 3x–2.
a. 4 y^2 + 2y– 4
b. 4 y^2 + 6y– 2
c. 4 y^2 + 6y– 3
d. 2 y^2 + 6y– 4

695.Simplify f(x+ h) – f(x) when f(x) = –(x– 1)^2 + 3.

a.h

b.f(h)

c.h(h– 2x+ 2)

d.–2hx+ h^2 – 2h

696.Compute (g ̊h)(4) when g(x) = 2x^2 – x– 1 and

h(x) = x – 2 x.

a. 0

b. 1

c.–1

d. 4

697.Simplify (f ̊f ̊f)(2x) when f(x) = –x^2.

a. 16 x

b.–16x

c. 64 x^8

d.–256x^8

698.Iff(x) = 3x+ 2 and g(x) = 2x– 3, what is the

value ofg(f(–2))?

a.–19

b.–11

c.–7

d.–4

e.–3

699.Iff(x) = 2x+ 1 and g(x) = x– 2, what is the

value off(g(f(3)))?

a. 1

b. 3

c. 5

d. 7

e. 11

700.Iff(x) = 6x+ 4 and g(x) = x^2 – 1, which of the

following is equivalent to g(f(x))?

a. 6 x^2 – 2

b. 36 x^2 + 16

c. 36 x^2 + 48x+ 15

d. 36 x^2 + 48x+ 16

e. 6 x^3 + 4x^2 – 6x– 4