1. -/1 pointsTGEnterAigHs 9.2.E.XP.02 EXAMPLE 2 Use the horizontal line test to
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1. -/1 pointsTGEnterAigHs 9.2.E.XP.02 EXAMPLE 2 Use the horizontal line test to determine whether the following graphs of functions represent one-to-one functions We will draw horizontal lines through the graph of the function and see how many times each line intersects the graph. Strategy Why If each horizontal line intersects the graph of the function exactly once, the graph represents a one-to-one function. If any horizontal line intersects the graph of the function more than once, the graph does not represent a one-to-one function. (a) Because we can draw a horizontal line that intersects the graph shown in figure (a) twice, the graph does not represent a one-to-one function. Solution (b) Because every horizontal line that intersects the graph in figure (b) does so exactly once, the graph represents a one-to-one function. Self Check Determine whether the following graphs represent one-to-one functions. a. b. O Graph (a) is not a one-to-one function; graph (b) is a one-to-one function. O Graph (a) is not a one-to-one function; graph (b) is not a one-to-one function. O Graph (a) is a one-to-one function; graph (b) is not a one-to-one function. O Graph (a) is a one-to-one function; graph (b) is a one-to-one function.Explanation / Answer
Graph a is not a one to one function
because horizontal line intersects the graph of function at more than one point.
While graph b is a one to one function because the horizontal line intersects the graph only at one point.
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