math test two

Which of the following statements is not​ true? Choose the incorrect statement below. A. It is possible for the distance between two points to be negative. B. For any real numbers x 1 and x 2​, the expression StartAbsoluteValue x 2 minus x 1 EndAbsoluteValue squared is equivalent to the expression left parenthesis x 2 minus x 1 right parenthesis squared. C. The Pythagorean theorem is used to derive the distance formula. D. The distance between two points is always greater than or equal to zero.

It is possible for the distance between two points to be negative.

Which of the following statements is NOT ​true? A. A function can have several​ y-intercepts. B. Another name for an​ x-intercept is a real zero. C. A function can have infinitely many​ x-intercepts. D. Every function can be represented by a graph in the Cartesian plane.

A. A function can have several​ y-intercepts.

Which of the following statements is true? A. A function y=f(x) is even if for every point (x,y) on the graph of f, the point (x,-y) also lies on the graph of f. B. A function y=f(x) is odd if for every point (x,y) on the graph of f, the point (-x,-y) also lies on the graph of f. C. The graph of every odd function is symmetric about the y-axis. D. The graph of every even function is symmetric about the origin.

B. A function y=f(x) is odd if for every point (x,y) on the graph of f, the point (-x,-y) also lies on the graph of f.

Which of the following statements is NOT true? A. If n≥2 is an even integer, then the domain of: " f(x) = the n root of g(x) " is the solution to the inequality g(x) greater than or equal to 0. B. The domain of every polynomial function is all real numbers. C. Many functions have restricted domains. D. If n≥2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution to the inequality g(x) greater than or equal to 0.

D. If n≥2 is an odd integer, then the domain of: " f(x) = the n root of g(x) " is the solution to the inequality g(x) greater than or equal to 0.

Which of the following defines a function? A. A function is a relation such that for each element in the domain, there is exactly one corresponding element in the range. B. A function is a relation such that for each element in the domain, there is at least one corresponding element in the range. C. A function is a relation such that for each element in the range, there is at least one corresponding element in the domain. D. A function is relation such that for each element in the range, there is exactly one corresponding element in the domain.

A. A function is a relation such that for each element in the domain, there is exactly one corresponding element in the range.

Which of the following statements defines a relation? A. A relation is a correspondence between two sets A and B such that each element of set A corresponds to one or more elements in set B. B. A relation is a correspondence between two sets A and B such that each element of set A corresponds to exactly one element in set B. C. A relation is a correspondence between two sets A and B such that each element of set A equals one or more elements in set B. D. A relation is a correspondence between two sets A and B such that each element of set A equals exactly one element in set B.

A. A relation is a correspondence between two sets A and B such that each element of set A corresponds to one or more elements in set B.

Which of the following statements is not true? A. If the domain of a function consists of more than one element, then the range must also consist of more than one element. B. Every function is a relation but not every relation is a function. C. If the domain and range of a relation are sets of real numbers, then the relation can be represented by plotting ordered pairs in the Cartesian plane. D. Two or more distinct elements in the domain of a function can correspond to the same element in the range.

A. If the domain of a function consists of more than one element, then the range must also consist of more than one element.

Which of the following statements is true? A. A graph in the Cartesian plane is the graph of a function if every horizontal line intersects the graph no more than once. B. A graph in the Cartesian plane is the graph of a function if every vertical line intersects the graph no more than once. C. A graph in the Cartesian plane is the graph of a function if every vertical line intersects the graph at least once. D. The graph of a horizontal line in the Cartesian plane cannot represent a function.

B. A graph in the Cartesian plane is the graph of a function if every vertical line intersects the graph no more than once.

Which of the following statements is true? A. A function is increasing on an interval (a,b) if, for any x1 and x2 chosen from the interval with x1 > x2, then f(x1) < f(x2). B. A function is decreasing on an interval (a,b) if, for any x1 and x2 chosen from the interval with x1 > x2, then f(x1) > f(x2). C. A function is decreasing on an interval (a,b) if, for any x1 and x2 chosen from the interval with x1 < x2, then f(x1) < f(x2). D. A function is increasing on an interval (a,b) if, for any x1 and x2 chosen from the interval with x1 < x2, then f(x1) < f(x2).

D. A function is increasing on an interval (a,b) if, for any x1 and x2 chosen from the interval with x1 < x2, then f(x1) < f(x2).