Question

Which function represents g(x) , a reflection of f(x)= 2/5 (10) x across the x-axis ?

Answer 1

The answer is ............................a

Answer 2

Answer: The correct option is  A.

Explanation:

The given function is,

$f(x)=\frac{2}{5}(10)^x$

If a function is reflect across the x-axis, then the x-coordinate remains the same but the sign of y coordinate change.

$(x,y)\rightarrow(x,-y)$

$g(x)=-f(x)$

$g(x)=-\frac{2}{5}(10)^x$

The graph of f(x) and g(x) in shown in below figure.

Therefore option A is correct.