Which of these is an exponential parent function?

a. f(x) = x

b. f(x) = 2x

c. f(x) = x2

d. f(x) = |x|

Option B

Step-by-step explanation:

A) f(x) =x This is a straight line passing through the origin with slope = 1.

C) This is f(x) = x^2 a parabola open up

D) f(x) = |X| is a straight line y=x for x>0 and y =-x for x<0

Hence the above 3 cannot be an exponential parent functions.

Consider option B

f(x) =

This is obviously an exponential function since the variable x appears in exponent.

Base is 2.

Thus we have option B is the right answer