Algebra 1021: Test 2 MC questions

How to derive the equation of a circle in standard form?

Distance formula

Which of the following equations is in​ point-slope form?

y-y1=m(x-x1)

Which is NOT true: 1) it is possible for the distance between two points to be negative 2) the distance between two points is always greater than or equal to zero. 3) for any real number x1 and x2 the expression | x2-x1|^2 is equivalent to the expression (x2-x1)^2 4) the Pythagorean theorem is used to derive the distance formula.

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Which of the following statements is ​true? Question content area bottom Part 1 A. 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. C. A graph in the Cartesian plane is the graph of a function if every horizontal line intersects the graph no more than once. D. A graph in the Cartesian plane is the graph of a function if every vertical line intersects the graph at least 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.

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

B. 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 equals exactly one element in set B. B. 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. C. 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. D. 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.

B. 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. Every function is a relation but not every relation is a function. B. 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. C. If the domain of a function consists of more than one​ element, then the range must also consist of more than one element. D. Two or more distinct elements in the domain of a function can correspond to the same element in the range.

C. 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 not ​true? A. If n≥2 is an even​ integer, then the domain of f(x)=ng(x) is the solution to the inequality g(x)≥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)=ng(x) is the solution to the inequality

D. If n≥2 is an odd​ integer, then the domain of f(x)=ng(x) is the solution to the inequality

Which of the following statements is not ​true?: A. Given any two distinct lines in the Cartesian​ plane, the two lines will either be parallel or perpendicular. B. Given any two distinct lines in the Cartesian​ plane, the two lines will either intersect or they will be parallel. C. If two distinct nonvertical lines are​ parallel, then the two lines must have the same slope. D. The ratios of the vertical rise to the horizontal run of any two distinct nonvertical parallel lines must be equal.

Given any two distinct lines in the Cartesian​ plane, the two lines will either be parallel or perpendicular.

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? The product m1m2 is equal to −1. B. If m1=ab​, then m2=−ba. C. It is possible for the value of m1 to be zero. D. The value of m1 does not equal the value of m2

It is possible for the value of m1 to be zero.

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

Given that points (x1, y1) and (x2,y2) are endpoints of a line segment, 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 X2 and X1 then dividing by 2

Given two end points which represent the diameter, which is true

The center of the circle is the midpoint

Which of the following equations is in​ point-slope form?

The equation y=b is the equation of a horizontal line with zero slope.