Question

which statement is true?
the function is decreasing over the domain because the y - values get smaller as the x - values get larger.
the function is increasing over the domain because the x - values get larger as the y - values get larger.
the x - intercept is (0, 4)
the y - intercept is (3, 0).

Explanation:

1. Analyze function trend: As x-values increase, y-values decrease, so the function is decreasing.
2. Identify intercepts: The x-intercept is where y=0, which is (4, 0). The y-intercept is where x=0, which is (0, 3).
3. Evaluate options:

• Option 1 correctly describes the decreasing trend.
• Option 2 incorrectly states the function is increasing.
• Option 3 misidentifies the x-intercept (it lists the y-intercept's coordinates).
• Option 4 misidentifies the y-intercept (it lists the x-intercept's coordinates).

Answer:

A. The function is decreasing over the domain because the y-values get smaller as the x-values get larger.