Functions and Graphs Flashcards
What defines a function, in terms of equations?
A function is a correspondence between two sets, the domain set, also called the input set, and the range set, also called the output set, such that each member of the domain set corresponds to precisely one member of the range set.
How is f(x) read and what does it mean?
“f of x” or “f at x”, it means the value of the function at x or the function’s value of x.
When an equation is a function, what can be said for y?
That y is a function of x.
How is this read f(10)=5?
f at 10 is equal to 5 or f of 10 is equal to 5
Is an equation in x a function if it produces two or more answers?
No.
How does the vertical line test work, and what does it prove?
If a vertical line crosses the graph more than once, it’s not a function. This test shows if a graph represents a function.
What are these: open doth, closed doth, arrow line?
These are notation components for boundaries, i.e. intervals. The open doth, written as a hollow doth, represents a non-inclusive boundary. The closed doth, written as a normal doth, is an inclusive boundary. The arrow line represents infinity, it can point to either positive or negative infinity.
