The x-axis goes from negative 6 to 6 and the y-axis goes from negative 6 to 6. A function labeled f left-parenthesis x right-parenthesis has points left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis 1 comma 3 right-parenthesis, and left-parenthesis 3 comma 5 right-parenthesis. Starting from the point left-parenthesis 0 comma 1 right-parenthesis the graph curves right and up and then up and right. A second function labeled g left-parenthesis x right-parenthesis has points left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis 1 comma 3 right-parenthesis, and left-parenthesis 3 comma 5 right-parenthesis. Starting from the point left-parenthesis 0 comma 1 right-parenthesis the graph curves up and right and then right and up. A third function labeled h left-parenthesis x right-parenthesis has points left-parenthesis 1 comma 0 right-parenthesis, left-parenthesis 3 comma 1 right-parenthesis, and left-parenthesis 5 comma 3 right-parenthesis. Starting from the point left-parenthesis 1 comma 0 right-parenthesis the graph curves up and right and then right and up. Question Use the graph to answer the question. Which function, g or h, is the inverse of function f, and why? (1 point) Responses The function h is the inverse because h and f intersect at one, and only one, point. The function h is the inverse because h and f intersect at one, and only one, point. The function h is the inverse because for every point on the graph of f, there is a corresponding point on the graph of h. The function h is the inverse because for every point Image with alt text: left-parenthesis x comma y right-parenthesis on the graph of f , there is a corresponding point Image with alt text: left-parenthesis y comma x right-parenthesis on the graph of h . The function g is the inverse because for every point on the graph of f, there is a corresponding point on the graph of g. The function g is the inverse because for every point Image with alt text: left parenthesis a comma b right parenthesis on the graph of f , there is a corresponding point Image with alt text: left parenthesis b comma a right parenthesis on the graph of g . The function g is in the inverse because g and f intersect at multiple points.
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