Attach this cover sheet to your work. Be sure to answer all the questions comple

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Attach this cover sheet to your work. Be sure to answer all the questions completely on a separate page. highly recommend reading all of the questions before answering any of them since often questions relate to each other 1. Define a "function" in your own words and give two examples to clarify your definition. One example should show a relationship that is a function, and one example should show a relationshisp that is not a function. Do not use examples provided in the text. Similar to the examples in the book, your examples should be presented both verbally and symbolically. 2. Consider the example of a function you provided in exercise 1. a. What is the input of the function? b. What is the output of the function? c. Indicate the independent variable? d. Indicate the dependent variable? 3. In example 5 in section 1.1 on page 3, what are the input and output of the provided function? 4. Consider horizontal and vertical intercepts, the x and y intercepts respectively Define both terms on your own words and give an example to clarify your definition. Can a function have more than one vertical intercept? If so, provide an example of a function with more than one vertical intercept. If not, explain why Can a function have more than one horizontal intercept? If so, provide an example of a function with more than one horizontal intercept. If not, explain why a. b. c. 5. As seen in example 7, we sometimes use letters to represent constants. One advantage of function notation is that the notation indicates which letters represent constants and which represent variables. For each of the following functions, indicate which letters represent constants and which represent variables. Provide reasoning for your choices. For more information about functions, visit Khan Academy: https://www.khanacademy.org/math/algebra/algebra-functions There is also an app for Khan Academy for tablets and smart phones. You can view the videos (not the quizzes) by going to Math, Algebra I, and then Functions. 29

Explanation / Answer

1) a function is a relation in which each component in domain is matched with exactly one component in the range

lets take an example of function

y = x^2 is a function

because if we plug any value of x we will get a unique y value

for example x = 2

y = 2^2

y = 4

so for x = 2 , y = 4

now lets take an example which is not a function

y^2 = x

again if we plug any value of x we will get 2 different y values

if x = 4

y^2 = 4

y = +- sqrt 4  

so , for x = 4 , we have y = +2 , -2

y value is not unique

hence, this relation is not a function

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