Functions Flashcards
If x and y are sets, what is a relation R from X to Y?
Any nonempty subset of X x Y
(a Cartesian product of X and Y)
What is a function?
a relation between a set of inputs having one output each
What is the domain of a function?
X
What is the range of a function?
Y
How do you evaluate functions?
Input the given x value in the function and solve
What does the constant function
f(x) = c look like?
a HORIZONTAL line
What does the linear function f(x)=mx+b look like?
a DIAGONAL line
In a linear function, m is the ___ and b is the ____.
slope, y-intercept
What does the quadratic function
f(x)= ax^2+bx+c look like?
a parabola
f(x) = anxn + an−1xn−1 + … + a2x2 + a1x + a0 is the forumla of what function?
polynomial function
What is the formula of a rational function?
h(x) = f(x)/ g(x), where f(x) and g(x) are polynomials and g(x) is not 0
What is a radical function?
A function that involves a radical
What is the function described: A function f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
exponential function
What is a logarithmic function or the inverse function to exponentiation?
A function f(x) = logax
Give the list of kinds of functions.
constant, linear, quadratic, polynomial, rational, radical, exponential, logarithmic
