The end behaviour and the x- and y-intercept of the graphs are;
7. b) As x → ∞, y → -∞
as x → ∞ , y → -∞
8. x-intercept; (3, 0)
y-intercept; (0, -1)
The steps used to determine the end behaviour and the intercepts are presented as follows;
7. The graph of the function y = a·∛(x - h) + k, where a < 0, h < 0, and k > 0
The graph indicates that as the x → -∞, y → ∞, and as x → ∞, y → -∞. The correct option is therefore option b
8. The x-intercept is the point at which the graph intersects the x-axis, while the y-intercept is the location where the graph intersects the y-axis
The diagram shows that the location where the graph intersects the x-axis is the point (3, 0). Therefore, the x-intercept is; (3, 0)
Viewing the diagram indicates that the location where the graph intersects the y-axis is the point (0, -1), therefore, the y-intercept is the point (0, -1)