Answer: [tex]f(-3)=\dfrac12[/tex]
Step-by-step explanation:
Given: [tex]f(x)=4(2)^x[/tex], which is an exponential growth function.
To evaluate: f(-3)
Substitute x=-3 in the given function, we get
[tex]f(-3)=4(2)^{-3}\\\\=4(\dfrac{1}{2})^3\ [a^{-n}=\dfrac1{a^n}]\\\\=4\times\dfrac1{2^3}\\\\=4\times\dfrac18\\\\=\dfrac12[/tex]
Therefore, the value of [tex]f(-3)=\dfrac12[/tex].
