Question

Which function represents g(x), a reflection of f(x) = (10)* across the x-axis?

a) g(x) = -(10)*
b) g(x) = (10)*
c) g(x) = -10
d) g(x) = 10*

Answer 1

The function g(x) that reflects f(x) = (10)* across the x-axis is g(x) = -(10)*, which changes the sign of the original function's output.

Step-by-step explanation:

To find the function g(x) which represents a reflection of f(x) = (10)* across the x-axis, we have to apply a transformation that changes the sign of the output values of f(x). A reflection across the x-axis means that if f(x) has a positive value, then g(x) will have a negative value, and vice versa.

Therefore, the reflected function g(x) will multiply the original function by -1 to flip it across the x-axis. In this case, if f(x) = (10)*, then g(x) = -(10)* is the correct reflection across the x-axis, making option (a) g(x) = -(10)* the correct answer.