Question

select all the intervals where ( g ) is decreasing.

( y = g(x) ) is graphed. choose all answers that apply:
a ( -1 < x < 0 )
b ( 1 < x < 2 )
c ( 3 < x < 4 )
d none of the above

Explanation:

Step1: Define decreasing function

A function $g(x)$ is decreasing on an interval if as $x$ increases, $g(x)$ decreases (the graph slopes downward from left to right).

Step2: Analyze the parabola direction

The given graph is a downward-opening parabola with vertex at $x=0$. For such a parabola, the function increases when $x<0$ (graph slopes upward left to right) and decreases when $x>0$ (graph slopes downward left to right).

Step3: Evaluate each interval

• Interval A ($-1
• Interval B ($1
• Interval C ($3

Answer:

B. $1 < x < 2$, C. $3 < x < 4$