If the graph of a function is symmetric about the y-axis, which of the following
Practice Questions
Q1
If the graph of a function is symmetric about the y-axis, which of the following types of functions could it represent?
Linear function
Odd function
Even function
Exponential function
Questions & Step-by-Step Solutions
If the graph of a function is symmetric about the y-axis, which of the following types of functions could it represent?
Step 1: Understand what symmetry about the y-axis means. It 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 one that satisfies the condition f(x) = f(-x). This means that the output of the function is the same for both x and -x.
Step 3: Recognize that if a function is symmetric about the y-axis, it must be an even function. Therefore, it can be represented by an even function.
Step 4: Identify examples of even functions, such as f(x) = x^2 or f(x) = cos(x), which are symmetric about the y-axis.
Even Functions – Even functions are defined by the property that f(x) = f(-x), which indicates symmetry about the y-axis.
