Question

Which of the following represents the graph of f(x) = one−half to the power of x?

Answer 1

f(x) = $\frac{1}{2}^x$

In this exponential function , the base is $\frac{1}{2}$

if base is less than 1 then it a decreasing function

We can verify it using a table

We plug in some x and values and find out f(x) to get point for the graph

x -----> f(x)

-1 -----> 2

0 ------> 1

1 -------> 0.5

The table is same as the points in first graph.

So first graph represents the graph of f(x) = $\frac{1}{2}^x$