Question

what are the intercepts of the graphed function? x - intercept = (0, - 1) y - intercept = (-3, 0) x - intercept = (-1, 0) y - intercept = (-3, 0) x - intercept = (-1, 0) y - intercept = (0, -3) x - intercept = (0, -1) y - intercept = (0, -3)

Explanation:

Step1: Recall intercept definitions

The \(x -\)intercept is the point where the graph crosses the \(x -\)axis (\(y = 0\)), and the \(y -\)intercept is the point where the graph crosses the \(y -\)axis (\(x = 0\)).

Step2: Identify \(x -\)intercept

Looking at the graph, the curve crosses the \(x -\)axis at \(x=-1\), so the \(x -\)intercept is the point \((-1,0)\).

Step3: Identify \(y -\)intercept

The curve crosses the \(y -\)axis at \(y = - 3\), so the \(y -\)intercept is the point \((0,-3)\).

Answer:

\(x -\)intercept \(=(-1,0)\), \(y -\)intercept \(=(0,-3)\)