Defining functions unit
Define, evaluate, and compare functions.
8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is
the set of ordered pairs consisting of an input and the corresponding output.
_____ a. I can identify a function as a rule that assigns to each input exactly one output.
_____ b. I can recognize the graph of a function as a set of ordered pairs consisting of an input value and
the corresponding output value.
_____ c. I can use my x value to determine my y value to create an ordered pair.
_____ d. I can determine if a graph of a function by the ordered pairs given.
8.F.A.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give
examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a
function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which
are not on a straight line.
_____ a. I can identify that the equation y=mx+b defines a linear function whose graph is a straight line.
_____ b. I can recognize the equation y=mx+b is the equation of a function whose graph is a straight line
where m is the slope and b is the y intercept.
_____ c. I can give examples of functions that are non linear using multiple representations.
Use functions to model relationships between quantities.
8.F.B.5
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where
the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative
features of a function that has been described verbally.
_____a. I can describe the characteristic of a functional relationship between two quantities by analyzing a
graph where the function is (increasing, decreasing) and (linear of nonlinear)
_____ b. I can interpret the relationship between the x and y values by analyzing a graph.
_____ c. I can draw a graph that shows the characteristics of a function that is described verbally.
Vocabulary: function, linear, nonlinear, input, output,