D = 8cm H=8cm - Gauthmath

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Question

Definition: a function is even if f left parenthesis negative x right parenthesis equals f left parenthesis x right parenthesis for each x in the domain of f. Which of the functions whose graphs are shown is even?SHOW LESS0

Solution

The function represented by the graph(s) that are symmetric about the y-axis is even.

Step 1: For a function to be even, it must satisfy f(−x)=f(x)f(-x) = f(x) for all x in its domain. Step 2: Analyze the symmetry of the graphs shown. If a graph is symmetric about the y-axis, the function is even. Step 3: Identify the graph(s) that are symmetric about the y-axis.

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