What are characteristics of functions?
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
How do you describe a function on a graph?
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Which graphs are functions?
A set of points in a rectangular coordinate system is the graph of a function if every vertical line intersects the graph in at most one point. If any vertical line intersects the graph in more than one point, the graph does not represent a function. Determine whether each graph is the graph of a function.
Whats a function and not a function?
A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
What is a function rule?
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
What defines a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. We can write the statement that f is a function from X to Y using the function notation f:X→Y.
How do you describe a function?
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.
What is a function in your own words?
A function is a relation that maps a set of inputs, or the domain, to the set of outputs, or the range. Note that for a function, one input cannot map to more than one output, but one output may be mapped to more than one input.
What is the relationship between functions and graphs?
A function is a relationship between quantities where there is one output for every input. If you have more than one output for a particular input, then the quantities represent a relation. A graph of a relationship can be shown to be a function using the vertical line test.
How would you describe a graph?
A line graph plots data in a single line over time. To describe the graph, follow it’s progress along the horizontal access and describe whether it goes down, up, or stays the same.
How do you describe a trend?
A trend is the general direction in which something is developing or changing over time. A projection is a prediction of future change. Trends and projections are usually illustrated using line graphs in which the horizontal axis represents time.