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If the graph of a function is symmetric about the y-axis, which of the following
If the graph of a function is symmetric about the y-axis, which of the following types of functions could it be?
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Practice Questions
1 question
Q1
If the graph of a function is symmetric about the y-axis, which of the following types of functions could it be?
Linear function
Odd function
Even function
Exponential function
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A function is symmetric about the y-axis if it is an even function, which satisfies the condition f(x) = f(-x).
Questions & Step-by-step Solutions
1 item
Q
Q: If the graph of a function is symmetric about the y-axis, which of the following types of functions could it be?
Solution:
A function is symmetric about the y-axis if it is an even function, which satisfies the condition f(x) = f(-x).
Steps: 4
Show Steps
Step 1: Understand what symmetry about the y-axis means. This means that if you fold the graph along the y-axis, both sides will match perfectly.
Step 2: Learn about even functions. An even function is defined by the property that f(x) = f(-x) for all x in its domain.
Step 3: Recognize that if a function is even, its graph will be symmetric about the y-axis.
Step 4: Conclude that if a function's graph is symmetric about the y-axis, it must be an even function.
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