Spring semester final

Question 1

Arithmetic Sequence

Answer 1

each term increases by adding/subtracting some constant k

Question 2

Asymptote

Answer 2

a line that continually approaches a given curve but does not meet it

Question 3

Change of base formula

Answer 3

Log of B times A equals Log of D times A over Log of D times B

Question 4

Circle

Answer 4

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Question 5

Combined Variation

Answer 5

a situation where a variable depends on two (or more) other variables

Question 6

Common difference

Answer 6

The constant difference between consecutive terms of an arithmetic sequence

Question 7

Common logarithm

Answer 7

the logarithm with base 10

Question 8

Common ratio

Answer 8

The constant factor between consecutive terms of a geometric sequence

Question 9

Completing the square

Answer 9

a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial

Question 10

Complex Conjugates

Answer 10

the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

Question 11

Complex fraction

Answer 11

a fraction in which the denominator and numerator or both contain fractions

Question 12

Complex number

Answer 12

a number that can be expressed in the form a + bi

Question 13

Composition of functions

Answer 13

an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x))

Question 14

Compound inequality

Answer 14

a sentence with two inequality statements joined either by the word “or” or by the word “and.”

Question 15

Conic section

Answer 15

a curve obtained as the intersection of the surface of a cone with a plane

Question 16

Consistent

Answer 16

a linear or nonlinear system

Question 17

Constant of variation

Answer 17

a direct variation is the constant (unchanged) ratio of two variable quantities

Question 18

Continuous relation

Answer 18

a continuous function is a function that does not have any abrupt changes in value

Question 19

Correlation coefficient

Answer 19

A correlation coefficient is a numerical measure of some type of correlation

Question 20

Dependent

Answer 20

The dependent variable is the one that depends on the value of some other number.

Question 21

Dimensions of a matrix

Answer 21

the number of rows by the number of columns. If a matrix has a rows and b columns, it is an a×b matrix. For example, the first matrix shown below is a 2×2 matrix; the second one is a 1×4 matrix; and the third one is a 3×3 matrix.

Question 22

Direct Variation

Answer 22

Direct variation describes a simple relationship between two variables

Question 23

discriminant

Answer 23

a quantity that depends on the coefficients and determines various properties of the roots

Question 24

Ellipse

Answer 24

a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant,

Question 25

End behavior

Answer 25

The end behavior of a function f describes the behavior of the graph of the function at the “ends” of the x-axis

Question 26

Exponential equasion

Answer 26

a function of the form. where b is a positive real number, and the argument x occurs as an exponen

Question 27

Extraneous solution

Answer 27

a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem

Question 28

Extrema

Answer 28

any point at which the value of a function is largest (a maximum) or smallest (a minimum).

Question 29

Factor Theorem

Answer 29

used when factoring polynomials “completely”. … Any time you divide by a number (being a potential root of the polynomial) and get a zero remainder in the synthetic division, this means that the number is indeed a root, and thus “x minus the number” is a factor.

Question 30

Finite Sequence

Answer 30

a list of terms in a specific order