Question

Which exponential function is represented by the graph?

O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answer 1

f(x) =
`(1)/(2)`
`(2)^(x)`

Explanation:

Using the standard form of the exponential function

y = a
`b^(x)`

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a
`b^(0)` [

a = 0.5 , so

y =
`(1)/(2)`
`b^(x)`

Using (1, 1) , then

1 =
`(1)/(2)`
`b^(1)` , thus

b = 2

f(x) =
`(1)/(2)`
`(2)^(x)` ← exponential function representing graph