Question

# Which of the following will have their graph plotted in first and second quadrant only?|y|=f(|x|)y=f(|x|)|y|=f(x)y=|f(x)|

Solution

## The correct option is D y=|f(x)|In the first and second quadrant, y≥0 or y cannot be negative. Let us take the equation y=f((x|) means x can take any integer value and y will get values depending upon the function used.  For example, if function is sine function.  i.e., y=sin(|x|)  y will get negative values also. Hence, its graph will lie in third and fourth quadrant also. Similarly, in the graph of equation in option b and option c, the y can get negative values depending upon the function used. In the option d, x can take any value, and f(x) also can be any real value. But y can be either zero or positive due to the modulus function. Hence, the graph of y = |f(x)| will lie in first and second quadrant only.

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