Graph of a cubic polynomial function, x y plane, starts in quadrant 3, goes (negative 1, negative 1), flattens out as it goes through the origin and then through (1 comma 1) and rises rapidly. There is a point at (negative 1 comma 1).

A graph of a function on a coordinate plane. X axis from negative 7 to 6, by 1’s. Y axis from negative 4 to 7, by 1’s. From left to right, the function begins in the second quadrant, moves downward and to the right, crossing through negative 6 comma 6, negative 2 comma 2 and touching the x axis at approximately 0. It continues and to the left crossing through 2 comma 2 and 6 comma 6 then continues to move upward and to the right, ending in the first quadrant. Points negative 4 comma 2 and 4 comma 2 are shown.

Graph of a function. Horizontal axis, scale is negative 4 to 6, by 1’s. Vertical axis, scale is negative 10 to 8, by 2’s. 17 data points graphed. From left to right, function starts around negative 2 point 75 comma 10 crosses the x axis at 2 has a local maximum around negative 1 comma 4, moves downward and to the right to 1 comma 0, then moves upward and to the right through 2 comma 4, then continuing to move upward and to the right.

Graph of two inverse functions on x y plane. Horizontal axis, scale negative 10 to 10 by 2’s. Vertical axis, scale negative 6 to 6 by 1’s. Blue function has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0. Blue graph displays in Quadrant 1 and Quadrant 2 only. Green function is discrete and has a vertical asymptote at x = 2 and a horizontal asymptote at y = 1. Green graph displays in Quadrants 1, 2 and 4.

Graph of two quadratic functions on x y plane. Horizontal axis, scale negative 6 to 6, by 1’s. Vertical axis, scale negative 6 to 6, by 1’s. Upright blue function is y = x^2, and the other function is green and discrete, is upside down and vertex at (2 comma 5).

Functions f and g and set of data on x y coordinate, no grid, origin o. 6 tick marks on horizontal axis, 4 tick marks on vertical axis. Both functions and the data start in quadrant three, move downwards and to the right into quadrant 3, and then move upwards and to the right through quadrant 4 into quadrant 1. The data points mostly sit in between function f,  blue, and function g, green. Function g passes through 5 data points, Function f passes through 2 data points.