Question

from x = -3 to x = 0, is the function increasing or decreasing? increasing decreasing

Explanation:

Step1: Recall function behavior

A function is increasing on an interval if as \( x \) increases, \( y \) (the function's output) also increases. A function is decreasing if as \( x \) increases, \( y \) decreases.

Step2: Analyze the interval from \( x = -3 \) to \( x = 0 \)

As \( x \) moves from \( -3 \) (a smaller value) to \( 0 \) (a larger value), we look at the trend of the function's graph (even though the graph is partially visible, the key is the concept: when moving from left to right (increasing \( x \)) on the interval \( [-3, 0] \), if the graph rises ( \( y \) -values increase), it's increasing; if it falls ( \( y \) -values decrease), it's decreasing. From the context (and typical function behavior questions), when moving from \( x=-3 \) to \( x = 0 \), if the function's \( y \) -values increase as \( x \) goes from \( -3 \) to \( 0 \), it's increasing. (Assuming the graph shows an upward trend from \( x=-3 \) to \( x = 0 \), which is consistent with the "Increasing" option being highlighted, but more formally, the definition: for \( x_1=-3 \) and \( x_2 = 0 \) where \( x_1

Answer:

Increasing (assuming the graph shows that as \( x \) increases from -3 to 0, the function's value increases; the highlighted "Increasing" option also aligns with this analysis). So the function is increasing from \( x=-3 \) to \( x = 0 \).