Unit 3 Learning Targets
LT 3-1: I can describe the domain and range of a function.
LT 3-2: I can use function notation.
LT 3-3: I can graph a linear function through transformations.
LT 3-4: I can write an explicit formula to represent a sequence.
LT 3-5: I can create a scatter plot and draw a line of best fit.
LT 3-6: I can analyze a line of best fit.
Whether a function is continuous or discrete, each element of the domain is assigned to exactly one element of the range.
Help Videos:
● How Can You Tell If a Relation Is Not a Function?
● How Do You Make a Mapping Diagram for a Relation?
Practice:
3-1 Math XL
Linear functions can be represented in multiple ways, using words, tables, graphs, and rules. Function notation is a way to write the rule for a function f. The output of the function f(x), read “f of x,” means that f is a function of the input variable x.
Help Videos:
Practice:
3-2 Math XL
A transformation of a function maps each point of its graph to a new location. Adding k to the function output causes a vertical translation, and adding k to the function input causes a horizontal translation. Multiplying the output by k>1 causes a stretch, and multiplying the input by k>1 causes a compression.
Help Videos:
● What Does the Constant b Do to the Graph of f(x) = x + b?
● What Does the Value of m Do to the Graph of f(x) = mx?
Practice:
3-3 Math XL
Recursive and explicit formulas are used to describe arithmetic sequences. Arithmetic sequences, similar to linear functions, relate quantities that increase at a constant rate.
Help Videos:
● How Do You Find the nth Term in an Arithmetic Sequence?
● What Is an Explicit Formula?
Practice:
3-4 Math XL
When data presented in a scatter plot suggests a linear function, a line can be fitted to the data and a linear function can be written to represent the relationship.
Help Videos:
● How Do You Use a Scatter Plot to Find a Positive Correlation?
● How Do You Use a Scatter Plot to Find a Negative Correlation?
Practice:
3-5 Math XL
When we analyze lines of best fit we can determine how accurate our predictions are.
Help Videos:
● What Is the Correlation Coefficient?
Practice:
3-6 Math XL