Question

Х Which graph represents the function f(x) = 2 · 4+? 2

Answer 1

Given the function

`f(x)=2\cdot4^x`

Where the range of values of x is -2 to 2

`\begin{gathered} f(x)=2\cdot4^x \\ \text{Where x = -2} \\ f(-2)=2\cdot4^(-2)=(2)/(4^2)=(2)/(16)=0.125 \\ \text{Where x = -1} \\ f(-1)=2\cdot4^(-1)=(2)/(4^1)=(2)/(4)=0.5 \\ \text{Where x = 0} \\ f(0)=2\cdot4^0=2*1=(2)/(1)=2 \\ \text{Where x = 1} \\ f(1)=2\cdot4^1=2*4=8 \\ \text{Where x = 2} \\ f(2)=2\cdot4^2=2*16=32 \end{gathered}`

Using the graphing calculator, the graph of the function is shown below

From the graph above,

The graph that represents the given function is the first graph by the left.