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A function is graphed on the coordinate plane.A rational function is graphed on the coordinate plane. It consists of two curves. The first curve starts on the left of the graph just below the x-axis. It decreases gradually until left-parenthesis 2 comma negative 3 right-parenthesis then quickly, approaching but never reaching x=3. The second curve starts at the top of the graph just to the right of x = 3 and decreases quickly until left-parenthesis 4 comma 3 right-parenthesis and then gradually approaching but never reaching the x-axis.
Question
Use the graph to answer the question.
Describe the continuity of the graphed function.
(1 point)
Responses
The function has a removable discontinuity at x = 3.
The function has a removable discontinuity at x = 3.
The function has a removable discontinuity at x = 0.
The function has a removable discontinuity at x = 0.
The function has a nonremovable discontinuity at x = 3.
The function has a nonremovable discontinuity at x = 3.
The function has a nonremovable discontinuity at x = 0.
1 answer
Based on the description of the function, it appears that the function has a vertical asymptote at \( x = 3 \). This means that as \( x \) approaches 3 from the left, the function approaches negative infinity, and as \( x \) approaches 3 from the right, the function approaches positive values. This indicates a nonremovable discontinuity at \( x = 3 \).
Therefore, the correct response is:
The function has a nonremovable discontinuity at x = 3.
1 answer
1 answer
1 answer
1 answer