Question

3.4 understand: understanding the rate of change
due on 11.07.2025
show what you know!
if a graph is sloping upward from left to right, what does that tell us about the function and its rate of change?
the function is constant, and the rate of change is zero
the function has no change, and the rate of change is negative
the function is decreasing, and the rate of change is negative

Explanation:

When a graph slopes upward from left to right, it indicates that as the input (x - value) increases, the output (y - value) also increases. A positive rate of change means that for an increase in the independent variable (x), the dependent variable (y) increases. A function is said to be increasing when this upward - sloping behavior is observed. In contrast, a constant function has a zero rate of change (horizontal line), a decreasing function has a negative rate of change (slopes downward from left to right), and a negative rate of change implies that as x increases, y decreases.

Answer:

None of the provided options are correct. The correct answer is: The function is increasing, and the rate of change is positive.