1.
Consider the function
f
(
x
) = 3
x
– 1. Write the new equation of the function after it has been translated 2 units to the right.
A.
f
(
x
) = 3
x
+ 1
B.
f
(
x
) = 3
x
+ 5
C.
f
(
x
) = 5
x
– 1
D.
f
(
x
) = 3
x
– 7
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 except zero
B.
domain:
all real numbers
range:
all real numbers less than zero
C.
domain:
all real numbers greater than zero
range:
all real numbers greater than zero
D.
domain:
all real numbers
range:
all real numbers
Hint
3.
Find the line of symmetry of the graph of
f
(
x
) =
x
2
– 4
x
+ 5.
A.
x
= –2
B.
x
= 1
C.
x
= 2
D.
x
= –1
Hint
4.
Find the
x
-intercepts of the graph of f(
x
) = –
x
2
+ 4
x
+ 12.
A.
–2, 16
B.
–2, 6
C.
–2, –6
D.
2, 16
Hint
5.
How many solutions does the equation have?
x
2
– 6
x
+ 8 = 2
x
– 3
A.
3
B.
1
C.
2
D.
0
Hint