Question: Which of these graphs represents a function? [Image 1] [Image 2] [Image 3] [Image 4] [Image 5]…

Which of these graphs represents a function?

[Image 1] [Image 2] [Image 3] [Image 4] [Image 5]

Options:

• IMAGE 3
• IMAGE 1
• IMAGE 4
• IMAGE 2

Solution

To determine which graph represents a function, we use the vertical line test. A graph represents a function if and only if no vertical line intersects the graph at more than one point. - Image 1: The graph is a sideways parabola. A vertical line can intersect it at more than one point, so it is not a function. - Image 2: The graph is a line. Any vertical line intersects it at exactly one point, so it is a function. - Image 4: The graph is a curve. A vertical line intersects it at exactly one point, so it is a function. - Image 5: The graph is a circle. A vertical line can intersect it at more than one point, so it is not a function. Thus, the graphs that represent a function are from Image 2 and Image 4.