Terms Flashcards
Exponents and Radicals
Số mũ và cơ số
Arithmetic
Số học
Special Polynomials
Đa thức đặc biệt
Binomial
Nhị thức
Quadratic
Phương trình bậc 2
circumference
Chu vi
TRIGONOMETRY
Lượng giác
integral
tích phân
Analytic Geometry
Hình học giải tích
Differentiation
Vi phân
perpendicular bisector
đường trung trực
domain
miền xác định
range
miền giá trị
difference quotient
tính f(x+h)-f(x) rồi đem chia cho h or delta(y)/delta(x) = (f(x2)-f(x1))/(x2-x1)
Reflect about the x-axis
đối xứng qua trục x
Calculus is fundamentally different from the mathematics that you have studied previously: calculus is ___
less static and more dynamic
line segment
đoạn thẳng
A mathematical model is a ___ (often by means of a function or an equation) of a real-world phenomenon such as the size of a population, the demand for a product, the speed of a falling object, the concentration of a product in a chemical reaction, the life expectancy of a person at birth, or the cost of emission reductions. The purpose of the model is to ____ and perhaps to ___ about future behavior.
mathematical description
understand the phenomenon
make predictions
If there is no physical law or principle to help us formulate a model, we construct an ____, which is based entirely on ____. We seek a curve that ___ the data in the sense that it captures the basic trend of the data points.
empirical model
collected data
“fits”
interpolation
estimate a value between observed values
extrapolation
predicte a value outside the region of observations
A polynomial of degree 3 = ___
a cubic function
a power function
hàm lũy thừa f(x)=x^a
asymptote
đường tiệm cận
A rational function
a ratio of two polynomials
an algebraic function
constructed using algebraic operations (such as addition, subtraction, multiplication, division, and taking roots) starting with polynomials
Trigonometric Functions
hàm lượng giác
Exponential Functions
hàm mũ f(x)=a^x
logarithmic functions
f(x)=loga(x) ngược với hàm mũ exponential function
sinx*(cosx)^2 is ___
a Trigonometric Function
Translating the graph of ƒ
Vertical and Horizontal Shifts
composite function (composition of f and g) fog
f(g(x))
secant line
a line that cuts (intersects) a curve more than once
pitfalls
cạm bẫy
secant lines
đường cát tuyến
approaching the tangent line
average rate of change of y with respect to x over the interval [x1,x2]
delta(y)/delta(x)
differentiation
the process of calculating a derivative
Theorem
định lý
