Question

Which is the equation of the function graphed?



VHS_ALG_L3_S2_01_16_UTQ4v2.gif









A.

f(x) = |x + 4|








B.

f(x) = |x – 4|








C.

f(x) = |x| – 4








D.

f(x) = |x| + 4

Answer 1

first find the equation of the line on the right side

Answer 2

f(x)=0 when x=-4 and f(x) =4 when x=0;
so the line's equation is f(x) = x+4

Answer 3

Now find the equation of the line on the left

Answer 4

f(x) = 0 when x=-4
and f(x)=-4 when x=0
so the line's equation is f(x) = -x-4

Answer 5

so the function's equation is f(x)= |x+4|