Answer:
f(x)= 1/4
(4)
x
for x=1→f(1)=
4
1
⋅4
1
=1→(1; 1)
for x=2→f(2)=
4
1
⋅4
2
=
4
1
⋅16=4→(2; 4)
Answer: The graph nr 4.
Other method:
f(x)=\dfrac{1}{4}\cdot4^x=4^{-1}\cdot4^x=4^{x-1}f(x)=
4
1
⋅4
x
=4
−1
⋅4
x
=4
x−1
Used:
\begin{gathered}a^{-1}=\dfrac{1}{a}\\\\a^n\cdot a^m=a^{n\cdot m}\end{gathered}
a
−1
=
a
1
a
n
⋅a
m
=a
n⋅m
Draw the graph of y = 4^x and next shift it 1 unit right.
