Parent Functions in Algebra – Quiz with Graphs & Examples

The equation y = x + 1 represents a straight line in the Cartesian coordinate system, where the slope is 1 and the y-intercept is at (0,1).

The correct answer 'Volcano' is derived from the shape resembling a volcano that the graph of the equation y = 1/x^2 produces when plotted on a graph.

The function y = 1/x is a rational function because it can be expressed as a ratio of two polynomials, where the denominator is not equal to zero. A linear function is of the form y = mx + b, a quadratic function is of the form y = ax^2 + bx + c, and an exponential function is of the form y = a*b^x.

The correct answer is 'Square Root' because the function y = square root of x calculates the square root of a given input x.

The greatest integer function [x] takes a real number x and returns the greatest integer less than or equal to x. It essentially represents the step function where the output jumps to the next integer at each integer input value.

The equation y = x^2 represents a parabolic curve, where the graph is U-shaped.

The correct answer refers to the cubic function where the variable x is raised to the power of 3. This results in a curve that is often referred to as a 'cube'. The incorrect answers refer to other types of functions such as quadratic (x^2), linear (x), and exponential (a^x) which have different characteristics and graphs.

The correct term for y= the cube root of x is Cube Root, as it signifies a function that returns the value that, when multiplied by itself three times, gives the original number x.

The function y = a * bx is an exponential function because it involves a base (b) raised to a power (x). Exponential functions have a constant ratio between successive values, and the independent variable (x) is in the exponent.