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 are the qualities of a function?
How do you describe the behavior of a graph?
The end behavior of a function f describes the behavior of the graph of the function at the “ends” of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
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 a function in simple words?
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. …
What is function words example?
Function words include determiners, conjunctions, prepositions, pronouns, auxiliary verbs, modals, qualifiers, and question words. Content words are words with specific meanings, such as nouns, adjectives, adverbs, and main verbs (those without helping verbs.) sly, brown, and lazy (adjectives)
What is the best description of function?
The simplest definition is: a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another.
What is the definition of a function Quizizz?
Q. What is the definition of function? Has inputs and outputs. Every input has only ONE output. Inputs have different outputs every time.
What is the test that you can do to tell if a graph represents a function?
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Does the table represent a function?
Representing Functions with Tables Instead of using two ovals with circles, a table organizes the input and output values with columns. Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Which set of ordered pairs is a function?
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).
What is the general equation of a circle?
We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
What is the domain of a circle on a graph?
Since a circle is a set of points equidistant from a fixed point, your domain and range will have the same intervals. As proof, draw the center of the circle at the origin (0,0). Then use a compass to draw a circle with (0,0) as your reference point. You will see the domain and range are the same.