Which function has the same graph as f(x) = 0.3|x|?

Question

Which function has the same graph as f(x) = 0.3|x|?

1. A.f(x)={0.3x,x<0−0.3x,x≥0
2. B.f(x)={−0.3x,x≥00.3x,x<0
3. C.f(x)={−0.3x,x>00.3x,x≤0
4. D f(x)={0.3x,x≥0−0.3x,x<0

Answer 1

D is correct

the absolute value means f(x) is always positive

if x<0 then f(x) is .3(-x)= -0.3x

if x>0 then f(x) is .3(x)= 0.3x