Question

Compare the intervals of increasing and decreasing values of ​f(x)equalsx and ​g(x)equalsStartAbsoluteValue x EndAbsoluteValue.
-4
-2
2
4
-4
-2
2
4
x
y
f(x)



x y graph
-4
-2
2
4
-2
2
4
6
x
y
g(x)



x y graph
Question content area bottom
Part 1
As the value of x​ increases, the graph of​ f(x)
▼
increases for positive values of x
increases for negative values of x
increases over its entire domain
never increases
and
▼
decreases for negative values of x.
never decreases.
decreases for positive values of x.
decreases over its entire interval.
As the value of x​ increases, the graph of​ g(x)
▼
never increases
increases for negative values of x
increases for positive values of x
increases over its entire domain
and
▼
decreases for negative values of x.
never decreases.
decreases over its entire interval.
decreases for positive values of x.

Answer 1

For f(x)=x: increases over its entire domain and never decreases.
(Strictly increasing on (-∞, ∞).)

For g(x)=|x|: increases for positive values of x and decreases for negative values of x.
(Decreasing on (-∞, 0) and increasing on (0, ∞). The vertex at x=0 is neither increasing nor decreasing.)