Question

Which functions could be represented by the graph? Check all that apply.

Answer 1

The possible functions are:

$f(x) = |x + 0.14|$ and $f(x) = |x + 12|$

The parent function of an absolute value function is:

$f(x) = |x|$

From the diagram (see attachment), we can see that the function is shifted to the right by few units.

The rule of this translation is:

$(x,y) \to (x + b,y)$

Where b represents the number of units.

So, we have:

$f(x) = |x + b|$

From the list of given options, the possible functions are:

$f(x) = |x + 0.14|$ and $f(x) = |x + 12|$

Read more about function transformation at:

brainly.com/question/1548871