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IB Math AA SL
IB Math AA HL
Challenges
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Exponential Functions
Graph the following functions on Desmos above.
f
(
x
)
=
2
x
g
(
x
)
=
3
x
h
(
x
)
=
5
x
j
(
x
)
=
(
1
2
)
x
k
(
x
)
=
(
1
3
)
x
l
(
x
)
=
0.2
x
For
f
(
x
)
=
a
x
where
a
>
0
, the equation of the horizontal asymptote is:
Check
For
f
(
x
)
=
a
x
where
a
>
0
, the coordinates of the
y
-intercept are:
Check
The domain of
f
(
x
)
=
a
x
where
a
>
0
is
x
∈
Check
.
The range of
f
(
x
)
=
a
x
where
a
>
0
is
y
>
Check
,
y
∈
Check
.
Graph the following functions on Desmos above.
f
(
x
)
=
−
2
x
g
(
x
)
=
−
3
x
h
(
x
)
=
−
5
x
j
(
x
)
=
−
(
1
2
)
x
k
(
x
)
=
−
(
1
3
)
x
l
(
x
)
=
−
0.2
x
For
f
(
x
)
=
−
a
x
where
a
>
0
, the equation of the horizontal asymptote is:
Check
For
f
(
x
)
=
−
a
x
where
a
>
0
, the coordinates of the
y
-intercept are:
Check
The domain of
f
(
x
)
=
−
a
x
where
a
>
0
is
x
∈
Check
.
The range of
f
(
x
)
=
−
a
x
where
a
>
0
is
y
<
Check
,
y
∈
Check
.
Graph the following functions on Desmos above.
f
(
x
)
=
2
−
x
g
(
x
)
=
3
−
x
h
(
x
)
=
5
−
x
j
(
x
)
=
(
1
2
)
x
k
(
x
)
=
(
1
3
)
x
l
(
x
)
=
(
1
5
)
x
f
(
x
)
=
a
−
x
=
(
Check
)
Check
Check
Graph the following functions on Desmos above.
f
(
x
)
=
2
x
+
1
g
(
x
)
=
2
x
−
4
h
(
x
)
=
3
x
+
2
j
(
x
)
=
−
3
x
−
7
k
(
x
)
=
(
1
5
)
x
+
3
l
(
x
)
=
−
5
−
x
−
5
For exponential functions of the form
f
(
x
)
=
p
×
a
b
x
+
k
, the equation of the horizontal asymptote is
Check
.