A relation pairs inputs with outputs so that no input is paired with more than one output. What term names this kind of relation?

For $y=\sqrt{x-3}$, the allowed input numbers are $x\ge 3$. What term names the set of allowed inputs?

For $y=(x-1{)}^2$, the possible output numbers are $y\ge 0$. What term names the set of possible outputs?

A graph passes the vertical line test, and every horizontal line meets it at most once. Which term describes the relation?

A rule g sends each output of f back to its original input, so f(g(x))=x and g(f(x))=x. What term names g in relation to f?

To find h(x)=f(g(x)), first evaluate g at x, then use that result as the input to f. What term names this combining process?

A rule uses one formula when x<0 and a different formula when $x\ge 0$. What term names this kind of rule?

The quotient (f(6)-f(2))/(6-2) compares output difference to input difference over [2,6]. What term names this quotient?

The values 1<x<4 can be written compactly as (1,4). What term names this way of writing a continuous set of numbers?

Taken together, the ordered pairs that make every equation in a system true are called what?

In a system of inequalities, the shaded overlap contains exactly the points satisfying all inequalities. What term names that overlap?

In a modeling system, $x+y\le 50$ limits the total number of items. What term names a condition that the answers must obey?

A parabola has its turning point at (3,-5). What term names that turning point?

A parabola can be folded across x=2 so that its two halves match. What term names the line x=2?

In the quadratic formula for $a{x}^2+bx+c=0$, the expression $b^2-4ac$ decides whether roots are real, repeated, or nonreal. What is it called?

The number represented by i has a square equal to -1. What term names this number?

The pair 5+2i and 5-2i has the same real part and opposite imaginary parts. What name is used for the pair?

A form such as $4x^5-3x^2+7$ has variables raised to whole-number powers with coefficients multiplying the terms. What is this algebraic form?

The highest power of x in $2x^7-4x+1$ is 7. What name is given to that value for the whole expression?

In $-6x^4+2x-9$, the number -6 multiplies the highest-power term. What is -6 called?

The graph of $y=-2x^5+8$ rises on the left and falls on the right because of its highest-power term. What phrase describes these far-left and far-right directions?

A zero x=-4 comes from the factor $(x+4{)}^3$ in a complete factorization. What is the 3 called?

A shortcut uses 3 and the coefficients to work with a polynomial and the factor x-3 instead of the long algorithm. What term names the shortcut?

When p(x) is compared with x-2 by the standard polynomial algorithm, the final number equals p(2). Which named result states this?

The form $(x^2-1)/(x+3)$ is a quotient of polynomials. What term names this algebraic form?

In (x+5)/(x-2), substituting x=2 makes the denominator zero, so x=2 is not allowed. What term names 2?

For y=1/(x-4)+2, the graph gets close to x=4 and is not defined there. What line is x=4?

For y=3/(x+1)-5, the graph levels off near y=-5 as x becomes very large or very small. What line is y=-5?

The graph of $(x^2-9)/(x-3)$ has a missing point at x=3 after the common factor is canceled. What feature is the missing point?

Solving $\sqrt{x+6}=x$ gives x=3 from checking, but x=-2 fails in the original statement. What term names a false answer created during solving?

In the fourth root of (3x-1), what is the quantity 3x-1 called?

In the fifth root of 32, the small 5 tells which root is taken. What is that small number called?

The form $x^{2/3}$ uses a fractional power instead of a root symbol. What term names the power 2/3?

A statement such as cube root of (x+1) = 4 has a variable inside a root expression. What term names this kind of statement?

If y=12/x, multiplying x by 3 divides y by 3, so the product xy stays 12. Which relationship is being described?

To simplify $1/(\sqrt{5}-2)$, multiplying by $\sqrt{5}+2$ uses a paired expression with the sign changed. What is $\sqrt{5}+2$ called here?

A rule $y=4(3{)}^x$ multiplies by the same factor whenever x increases by 1. What kind of rule is it?

In $7(2{)}^x$, the fixed number 2 is the repeated multiplier for the power. What is 2 called?

A population model multiplies by 1.08 each year, so 1.08 represents 108% of the previous amount. What term names 1.08?

A car's value is multiplied by 0.82 each year, so 0.82 keeps 82% of the previous value. What term names 0.82?

The exponent to which 2 must be raised to get 32 is 5. What term names an exponent found this way?

The expression ln(9) uses base e. What term names this quantity?

In 2, 6, 18, 54, each term is multiplied by 3 to get the next. What is 3 called?

In 11, 7, 3, -1, each term is found by adding -4 to the previous term. What is -4 called?

The list 5, 9, 13, 17 changes by adding the same number each time. What kind of list is it?

The list 4, 12, 36, 108 changes by multiplying by the same number each time. What kind of list is it?

A rule gives $a_1=2$ and $a_n=3a_{n-1}+1$ for n>1, so each term depends on the one before it. What kind of rule is this?

In the notation Σ($k^2$) for k=1 to 5, k is the counter that takes the listed integer values. What is k called?

An angle cuts off an arc equal in length to the circle's radius. What unit measures that angle?

A sine graph ranges from y=-2 to y=6, so the distance from its middle line to a peak is 4. What term names that distance?

A cosine graph repeats every pi units along the x-axis. What term names the length of one full repeat?

In y=sin(x-pi/3), the graph is moved pi/3 units to the right compared with y=sin(x). What term names this horizontal move?

In a parabola, every point is the same distance from a fixed point and a fixed line. What is the fixed point called?

In a parabola defined by equal distances, the fixed line is paired with a fixed point. What is the fixed line called?

For the matrix $\left[\begin{array}{cc}2& 1\\ 5& 3\end{array}\right]$, the number 2*3-1*5 is computed to test whether an inverse exists. What is this number called?

A square array B satisfies AB=BA=I for a square array A. What term names B in relation to A?

A survey of 150 students finds a mean of 6.2 hours of sleep for those surveyed. What is 6.2 called because it comes from the sample?

A school knows the true mean age of all enrolled students is 16.4 years. What is 16.4 called because it describes the whole population?

A poll reports 46% support with plus or minus 3 percentage points. What term names the 3 percentage points?

A class uses random digits to imitate 200 draws from a bag when doing the real process many times is impractical. What term names this imitation of chance?