Function and their Graphs
A relation where each input (x) corresponds to exactly one output (y).
What is function?
Solve for x: 3x−7=8 .
What is x=5?
limx→2 (3x+4)
What is 10?
This is the circle with radius 1 centered at the origin, used to define trigonometric functions.
What is the unit circle?
This is the likelihood of a particular outcome or event happening.
What is probability?
This type of function is represented by f(x)=x2−4x+4 .
What is a quadratic function?
This is the factored form of x2 -16 .
What is (x+4)(x-4)?
limx→1 (x2−1)/(x−1)
What is 2?
This is the identity sin2(x)+cos2(x)=1.
What is the Pythagorean identity?
This is the median of the data set: 3, 5, 7, 9, 11.
What is 7?
This is the domain of the function f(x)=1/x-2 .
What are all real numbers except x=2?
This is the solution to log3(x)=4 .
What is x=81?
limxx→1 (x2−4)/(x+2)
What is -4?
The conversion factor with which to multiply to convert from degrees to radians.
What is π/180?
This is the measure of how spread out the data is from the mean.
What is standard deviation?
This is the vertex of the parabola f(x)=x2−6x+9 .
What is (3,0)?
This is an equation of the form ax + b = 0 whose graph is a straight line.
What is a linear equation?
limx→∞ (4x2+7x)/(2x2+x)
What is 2?
This is the value of tan(45∘).
What is 1?
This is the probability of getting a sum of 7 when two dice are rolled.
What is 1/6?
A function with each output corresponding to exactly one input.
What is one-to-one function?
This is the formula used to solve quadratic equations.
What is (-b±√(b²-4ac))/(2a) ?
limx→0 sin (3x)/(x)
What is 3?
This is the measure of an angle subtended by an arc equal in length to the radius of the circle.
What is a radian?
This is the probability of drawing a heart from a standard deck of 52 cards.
What is 1/4?