Question

Write a function that represents a reflection of ( f(x) = 3 ⋅ 2ˣ ) over the x-axis.

A) ( f(x) = -3 ⋅ 2ˣ )
B) ( f(x) = 3 ⋅ (-2)ˣ )
C) ( f(x) = -3 ⋅ (-2)ˣ )
D) ( f(x) = 3 ⋅ 2⁻ˣ )

Answer 1

The correct answer is B) ( f(x) = 3 ⋅ (-2)ˣ ). When we reflect a function over the x-axis, the y-values of the function become negative.

Step-by-step explanation:

The correct answer is B) ( f(x) = 3 ⋅ (-2)ˣ ). When we reflect a function over the x-axis, the y-values of the function become negative.

So, for the given function f(x) = 3 ⋅ 2ˣ, the reflected function will be f(x) = 3 ⋅ (-2)ˣ, where the negative sign reflects the positive value of the original function.