A straight line passes through two points on a curve, and its slope equals the function's average rate of change between those inputs. What is the line called?

At one point on a smooth curve, a line has the same instantaneous slope as the curve. Which term names that line?

The quotient of the change in output by the change in input over an interval is called what?

On an interval, every larger input gives a larger output. How is the function described on that interval?

A function's outputs become smaller as inputs move left to right across an interval. Which description applies?

At an interior point, a function's output is greater than nearby outputs, though it may not be greatest overall. What is this point called?

At a point on a graph, the curve changes from concave up to concave down or vice versa. Which term names the point?

For a polynomial function, an input that makes the output equal to $0$ is called a what?

In $f(x)=(x-2{)}^3(x+1)$, the exponent 3 tells how many times the factor $x-2$ occurs. What is that count called?

The description of how a graph behaves as $x\to \infty$ and $x\to -\infty$ is called what?

For $f(x)=\frac{3x+1}{x+2}$, the graph approaches $y=3$ as $|x|$ becomes large. What is $y=3$ called?

For $f(x)=\frac{1}{x-4}$, the graph grows without bound near $x=4$. What is the line $x=4$ called?

After polynomial division, a rational function has a nonhorizontal linear quotient that its graph approaches for large $|x|$. What is that line called?

For a sinusoidal graph, half the distance from its greatest output to its least output is the what?

A sinusoidal graph repeats its pattern after a horizontal distance of $2\pi$. What is that distance called?

For $y=4\sin x-3$, the horizontal line $y=-3$ lies halfway between the graph's maximum and minimum. What is this line called?

Compared with $y=\sin x$, the graph of $y=\sin \left(x-\frac{\pi }{2}\right)$ moves right. What name is given to this horizontal movement?

The number of complete cycles a periodic graph makes in one unit of input is called its what?

A curve shaped like $y=\sin x$ or $y=\cos x$, repeating smoothly above and below a center line, is called what?

For an angle in standard position, the acute positive angle between its terminal side and the x-axis is called the what?

When two angles add to 90 degrees, formulas relating their sine and cosine values use which type of rule?

Given two angles and a side opposite one of them, which theorem pairs each side length with its opposite angle to find the other sides of the triangle?

Given two sides and their included angle, which theorem can find the third side of a nonright triangle?

Two sides and an angle opposite one of them are known, and the data may make zero, one, or two triangles. What is this situation called?

An equation that is true for every input where both sides are defined, such as ${\sin }^{2}x+{\cos }^{2}x=1$, is called what?

The equation ${\sin }^{2}x+{\cos }^{2}x=1$ belongs to which named family of trigonometric rules?

Writing a vector as $⟨-3,5⟩$ gives its horizontal and vertical changes. What form is this called?

For $\mathbf{v}=⟨3,4⟩$, the length $5$ is known by what term?

The angle measured counterclockwise from the positive x-axis to a vector's direction is called its what?

Two nonzero vectors have dot product $0$. How are the vectors described?

The expression $r(\cos \theta +i\sin \theta )$ writes a complex number using a distance from the origin and an angle. What form is this?

For the complex number $z=-3+4i$, the distance from the origin to its point in the complex plane is called the what?

For a nonzero complex number plotted in the complex plane, the angle from the positive real axis to its point is called the what?

A curve is described by $x=2t+1$ and $y=t^2$, where $t$ controls both coordinates. What is $t$ called?

A list of terms with a constant amount added each time is called what kind of sequence?

A list of nonzero terms formed by multiplying each term by the same number is what kind of sequence?

In the sequence $7,11,15,19,\dots$, the constant amount added between consecutive terms has what name?

In the sequence $3,12,48,192,\dots$, the constant multiplier between consecutive terms has what name?

The value a function approaches as its input gets arbitrarily close to a specified number is called a what?

A function can be drawn through a point without lifting the pencil or making a break, hole, or jump there. What property does it have there?