Question

when the input is 1, how many outputs are there? (i) exactly one output, which is 1 (ii) exactly one output, which is 2 (iii) more than one output

Explanation:

Step1: Analyze the graph for input \( x = 1 \)

On the coordinate graph, the \( x \)-axis represents the input. We look at the point where \( x = 1 \). The corresponding \( y \)-value (output) at \( x = 1 \) is the \( y \)-coordinate of the point with \( x = 1 \). From the graph, when \( x = 1 \), the point is at \( (1, 2) \), so there is exactly one output value, which is 2.

Step2: Evaluate the options

• Option (i): Says output is 1, but from the graph, at \( x = 1 \), \( y = 2 \), so this is incorrect.
• Option (ii): Says exactly one output, which is 2. This matches our analysis of the graph.
• Option (iii): Says more than one output, but there's only one point at \( x = 1 \), so this is incorrect.

Answer:

(ii) exactly one output, which is 2