Question

Given that ƒ(x) = 3^x, identify the function g(x) shown in the figure. A) g(x) = −3^-x

B) g(x) = −(1∕3)^x
C) g(x) = 3^−x
D) g(x) = −3^x

Answer 1

Option (D)

Explanation:

From the graph attached,

Function 'f' is the reflected across x-axis to get the graph function 'g'.

Therefore, by definition of reflection across x-axis,

g(x) = -f(x)

g(x) =
`-3^x`

Option (D) will be the answer.