Question

The graph that is made up of two straight lines, which has an absolute maximum or absolute minimum, and is symmetric belongs to the
function family.

Answer 1

Answer:

This may be a function of the absolte value family.

f(x) = IxI.

f(x) = x if x ≥ 0

f(x) = -x  if x ≤ 0

Where this is the parent function, and the graph is shown below in green.

If the coefficient is positive, then the lines open upwards, and we will have a minimum (in this case, when x = 0).

And also in this case, we have symmetry around the value x = 0.

Now, the vertex can also be an absolute maximum if the coefficient is negative, like in the example shown below in color blue (the equation for the blue graph is f(x) = -3*IxI )