Identify Linear and Nonlinear Functions From Equations and GraphsOnline version Determine whether each equation or graph shows a linear or nonlinear function. Then, select the correct answer. by Peter Machado 1 Linear or nonlinear? a Linear b Nonlinear 2 Linear or nonlinear? a Linear b Nonlinear 3 Linear or nonlinear? a Linear b Nonlinear 4 Linear or nonlinear? a Linear b Nonlinear 5 Linear or nonlinear? a Linear b Nonlinear 6 Linear or nonlinear? a Linear b Nonlinear 7 Linear or nonlinear? a Linear b Nonlinear 8 Linear or nonlinear? a Linear b Nonlinear 9 Linear or nonlinear? a Linear b Nonlinear 10 Linear or nonlinear? a Linear b Nonlinear 11 Linear or nonlinear? a Linear b Nonlinear 12 Linear or nonlinear? a Linear b Nonlinear 13 Linear or nonlinear? a Linear b Nonlinear 14 Linear or nonlinear? a Linear b Nonlinear 15 Linear or nonlinear? a Linear b Nonlinear 16 Linear or nonlinear? a Linear b Nonlinear 17 Linear or nonlinear? a Linear b Nonlinear 18 Linear or nonlinear? a Linear b Nonlinear 19 Linear or nonlinear? a Linear b Nonlinear 20 Linear or nonlinear? a Linear b Nonlinear Feedback 11 This is the graph for a quadratic function, in which you can find x to the power of 2 in its equation (but never beyond that). 12 This is the graph for an exponential function, in which you can find a given number to the power of x instead of x to the power of a given number. 14 This is the graph for an absolute value function, in which, due to the very nature of a modular number, the line ends up mirroring itself, forming a V-shape. 15 This is the graph for a homographic function, in which the whole equation is a fraction and x is found in the denominator. Yes, the simple fact we have a variable in the denominator of a "rational" function generates a graph like that. 16 This is the graph for a trigonometric function. Just know it exists. Explaining it would take a loooooooong time. 18 This is the graph for a cubic function, in which you can find x to the power of 3 in its equation (but never beyond that). 19 This is the graph for a constant linear function, in which y equals a given number (e.g. y = –3, like in the picture).