Key Mathematical Figures
The French philosopher, scientist, and mathematician after whom the X and Y coordinate system is named.
Who is Rene Descartes?
Helps you determine the equation of a line when you only know its slope and one other point.
What is the Point-Slope Formula?
The factored form of x2+3x+2.
What is (x+1)(x+2)?
Commonly written in the form y=mx+b.
What is a Linear Function?
The variable that represents the slope in y=mx+b.
What is "m"?
Medieval Italian mathematician who introduced a sequence in which each number is the sum of its two preceding numbers.
Who is Fibonacci (Leonardo Bonacci)?
The formula x = -b/2a is crucial in finding the _ of a parabola’s vertex.
What is the x-coordinate?
The solutions to x2 - 144 =0
What are -12 and 12?
The graph of this function is a V-shaped curve in which every x value has a positive y value.
What is an Absolute Value Function?
Causes a line to go down from left to right.
What is a negative slope?
Ancient Greek mathematician and author of Elements, a 13-book collection that establishes the foundation and structure of geometry.
Who is Euclid?
Used to determine the missing side of a right triangle, this formula takes on the notation: c2 = a2 + b2
What is the Pythagorean Theorem?
If f(x)=x2 and g(x)=(x+4), find f(g(x)).
What is (x+4)2?
Can only assume x values greater than 0, since its graph features a vertical asymptote at x=0.
What is a Logarithmic Function?
The slope of the equation: 2x+2y=4
What is "-1"?
German polymath best known for inventing differential and integral calculus as well as formalizing the binary number system.
Who is Gottfried Wilhelm Leibniz?
The purpose of this formula is to find the x-intercepts of any second-degree polynomial.
What is the Quadratic Formula?
Arcsin(1/2) from 0-180 degrees.
What are pi/6 and 5pi/6?
This trigonometric function passes through the origin and has a defined amplitude.
What is a sine function?
Measures how much a function rises or falls on an interval, but only on average and not at a single point.
What is the Average Rate of Change?
The early 9th-century Persian mathematician known for developing a more general way to analyze problems in an abstract mathematical language (algebra).
Who is Muhammad Al-Khwarizmi?
Given as f′(x)= limit h→0 f(x+h)−f(x)/h, this formula helps determine the ______ ___ _ ___ of f at x.
What is Instantaneous Rate of Change?
Using the Fundamental Theorem of Calculus, evaluate the definite integral from 1 to 3 of 2x with respect to x.
What is 8?
A vertical asymptote at x=0 and a horizontal asymptote at y=0 are defining characteristics of this graph.
What is a Reciprocal Function?
A car's speed along a straight road is given by the equation: v(t)=3t^2 + 6t, where t represents time (in meters per second). The car's acceleration at 20 seconds is ____.
What is 126 m/s^2?