Weekly Reflection 8/17

Domain and Range

Objective: Know the difference between Domain and Range, and know how to find them to determine if a relation is a function. 

Example: Find the Domain and Range of the following Relation and determine if it is a function:
{(-3,5),(-2,5),(-1,5),(0,5),(1,5),(2,5)}
                 Domain (x-values): {-3,-2,-1,0,1,2}
                 Range (y-values): {5}
Is this relation a function? Yes,  the relation is a function because none of the x-values repeat.

Analysis

Misconceptions: One misconception I had was that I did not know what "|" was in inequality notation like {x|x>4}. I overcame this by asking the teacher what this meant, and it means "Such that". So in the example it would mean {x such that x is less than four}

Essential Question 1: How do you find the Domain and Range?
Answer: Domain and Range is just the x- and y-values, so by finding all the points on a graph, you can find the Domain and Range.

Essential Question 2: How do you determine the difference between linear and exponential functions 
Answer: Linear functions have a common difference, and get bigger or smaller at a steady rate, however exponential functions have a growth rate which stays the same from the initial value.

Essential Question 3: How do you determine transformations on a graph? How do you determine transformations from an equation?
Answer: Transformations on a graph can become clear by first finding how the parent function looks graphed, then comparing. Finding transformations from an equation can be done by knowing the parent function, then looking at what has been done as far as subtracting, dividing, multiplying, and adding. Certain things being done to an equation equates to a certain transformation.





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