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15 terms

zero of a function

a solution of the equation f(x)=0 is a zero of the funtion of a root of the equation.

y-intercept

the y-coordinate of the point where a curve intersects the y-axis

y-intercept

the vertical axis of the cartesian coordinate system

x-intercept

the x-coordinate of the point where a curve intersects the x-axis

x-axis

the horizontal azis of the cartesian coordinate system

volume by slicing

a method for finding the volume of a solid by evaluating A(x)dx where A(x) (assumed intergrable) is the solid cross section at area x

viewing window

on a graphing calculator, the portion of the coordinate plane displayed on the screen

vertex

any point of intersection of two sides of a polygon or plane surfaces of a solid

velocity

the rate of change of position with respect to time

upper bound

a function is bounded above on a given domain if there is a number M such that f(x)≤M for all x in the domain

unit circle

a circle of radius 1 whose center is at the origin

U-substitution

a method of intergration in which f(g(x))*g'(x)dx is rewritten as f(u)du by substituting u=g(x) and du=g'(x)dx

trigonimetric funtion

any of a group of functions expressed in terms of the ratios of the coordinates of the points on the circumference of a circle centered on the origin and the radius as the latter sweeps out that angle

trapexoidal rule

a method of approximating to an intergral as the limit of a sum of areas of trapezoids

transcendental function

a function that is not algebraic; examples are: trigonometric, inverse trigonometric, exponential and logarithmic funtctions