1.
Consider the function
f
(
x
) = –
x
2
+ 5. Write the new equation of the function after it has been translated 3 units down.
A.
f
(
x
) = –
x
2
+ 2
B.
f
(
x
) = –
x
2
+ 8
C.
f
(
x
) = –(
x
+ 3)
2
+ 5
D.
f
(
x
) = –(
x
– 3)
2
+ 5
Hint
2.
Consider the function
f
(
x
) = 2
x
. Find the domain and range.
A.
domain:
all real numbers greater than zero
range:
all real numbers greater than zero
B.
domain:
all real numbers
range:
all real numbers less than zero
C.
domain:
all real numbers
range:
all real numbers
D.
domain:
all real numbers greater than zero
range:
all real numbers except zero
Hint
3.
Find the
x
-intercepts of the graph of
f
(
x
) =
x
2
– 2
x
– 3.
A.
–1, 4
B.
1, –4
C.
1, –3
D.
–1, 3
Hint
4.
How many solutions does the equation have?
x
2
– 6
x
+ 8 = 2
x
– 3
A.
2
B.
1
C.
3
D.
0
Hint
5.
Approximate the solution to
x
3
– 4
x
– 1 =
x
+ 4.
A.
x
= 2.6
B.
x
= 5.2
C.
x
= 0
D.
x
= 1.3
Hint