Math Exam 2 (2.1,2.2,12.1,2.3,2.4,3.1,3.2)
Which statement describes how to derive the equation of a circle in standard form?
the equation of a circle can be derived using the distance formula
Given a linear system of the form [Ax+By=C Dx+Ey=F where A,B,D,E are nonzero real numbers, which of the following statements is not true?
the method of elimination can only be used when on e of the variables in both of the original equations have coefficients of opposite signs
If a system of linear equations in two variables can be represented by two distinct lines having different slopes, then which of the following accurately describes the system?
the system is said to be a consistent, independent system
Which of the following equations is in point slope form?
y-y1=m(x-x1)
Given two points which represent the endpoints of the diameter of a circle, which of the following statements is true?
the center of the circle is the midpoint of the given endpoints of the diameter
Which of the following statements is NOT true?
A function can have several y intercepts
Which of the following statements defines a function?
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 is true?
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)
Which of the following statements is true?
A function y=f(x) is odd if for every other point (x1,y2) on the graph of f, the point (-x1,-y2) also lies on the graph of x
Which of the following statements is true?
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 defines a relation?
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
Let line 1 with slope m1 and line 2 with slope m2 be two nonvertical perpendicular lines. Which of the following statements is NOT true?
It is possible for the value of m1 to be zero
Which of the following statements is not true?
Given an ordered pair of the form (x,y) y is called the coordinate
Which of the following statements is NOT true?
Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular
Which of the following statements is true?
If a rational function has a vertical asymptote, then the domain of the function can never be (-∞,∞)
Which of the following statements is NOT true?
If the domain of a function consists of more than one element, than the range must also consist of more than one element
Which of the following statements is not true?
It is possible for the distance between two points to be negative
Which of the following statements is true about the equation y=b
The equation y=b is the equation of a horizontal line with zero slope
Given the points (x1,x2) and (y1,y2) are endpoints on a graph, which of the following statements is true?
The x-coordinate of the midpoint of the line segment can be found by first taking the sum of x1 and x2 and then dividing the sum by two.
Which of the following statements describes the process of verifying that an ordered pair of the form (b,c) is a solution to a system of two linear equations in two variables?
To verify that the ordered pair (b,c) is a solution, show that both b and c are solutions to both equations by substituting the value of b in for the first variable in both equations and by substituting the value of c in for the second variable in both equations
Which of the following statements is not true?
a system of linear equations in two variables must have at least one solution
Given the equation of a line in standard form,Ax+By=C with B not equal to 0, which of the following represents the slope of this line?
m=-A/B
Which of the following does NOT describe the slope, m of a nonvertical line passing through the points (x1,y1) and (x2,y2)?
m=x2-x1/y2-y1