Question

f(x)= 1/2 abs value x-2 abs value

Answer 1

\[ \large f(x)=\frac{1}{2}|x-2| \]
??

Answer 2

yes i need the domain and range

Answer 3

well there no roots (of even power), no division, and no logarithms. so the domain is \(\mathbb{R}\).

now since the absolute value is non-negative then
\[ \large |x-2|\geq0 \]
\[ \large f(x)=\frac{1}{2}|x-2|\geq\frac{1}{2}0=0 \]
so the range is \([0,+\infty)\)

Answer 4

thank you!

Answer 5

u r welcome