A function f (x) is given below. Find the graph of the member of the family that satisfies .
A)
B)
C)
D)
E)

Question

A function f (x) is given below. Find the graph of the member of the family  that satisfies  . ​  ​
A) ​ ​ 
B) ​ ​ 
C) ​ ​ 
D) ​ ​ 
E) ​​ ​

Quizplus · Accepted Answer

The given function f(x) is an exponential function with base 2:

f(x) = 2^x

The member of the family that satisfies 11ea984b_b184_c9a9_9029_d551cac70a2e_TB4005_11 is obtained by reflecting the graph of f(x) about the x-axis, followed by a vertical stretch by a factor of 2:

g(x) = -2*f(x) = -2*2^x = -2^(x+1)

This corresponds to choice C, which is the graph of y = -2^x shown below:

(see attached image)

A Function F (X) Is Given Below