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

Answer:

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

Step-by-step 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 = $\frac{1}{2}$ $b^{x}$

Using (1, 1) , then

1 = $\frac{1}{2}$$b^{1}$ , thus

b = 2

f(x) = $\frac{1}{2}$$(2)^{x}$ ← exponential function representing graph