The functions b,d, and f have complex roots{ as the graph has no intersections with the x-axis}
Function: A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input. A function's general representation is y = f. (x).
Complex roots: Complex roots are the fictitious roots of equations represented by complex numbers. Because taking the square root of a negative number is impossible, we convert it to a complex number.
In the shown figure the functions b,d and f do not touch the x-axis which means it has complex roots {image attached}
Therefore, The function b,d, and f have complex roots{ as the graph has no intersections with the x-axis}
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