Question

Which of these is an exponential parent function?

A. f(x) = x

B. f(x) = 2x

C. f(x) = x2

D. f(x) = |x|

Answer 1

F(x) = 2^x

Option B

........................

Answer 2

Option B

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) =
`2^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