The graph extends on both sides of x, so it has a, The parabola never goes below the x-axis, so it has a, The graph extends to the right side of x and is never less than 2, so it has a, As long as the x and y are never equal to zero, h(x) is still valid, so it has both a, The graph extends on both sides of x and y, so it has a, The highest degree of f(x) is 3, so its a cubic function. Square root functions are restricted at the positive side of the graph, so this rules it out as an option. Meanwhile, the parent function returns positive values when x >0. We know that, for a cubic function, we can take all real numbers as input to the function. The exponential function always results in only positive values. Review the first few sections of this article and your own notes, then lets try out some questions to check our knowledge on parent functions. Two ways in which the domain and range of a function can be written are: interval notation and set notation. Question: Sketch the graphs of all parent functions. The set of all values, which comes as the output, is known as the functions range. f (x) = 2x4+5 f ( x) = 2 x 4 + 5. g(x) = 2x+4 x1 g ( x) = 2 x + 4 x 1. Hence, its parent function is y = x2. Brackets or \([ ]\) are used to signify that endpoints are included; it is also known as inclusive. 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