math questions

1 . What similarities and differences do you see between functions and linear equations ? Are all linear equations functions

A linear equation is an algebraic expression which has a either a constant of a variable , for example y 2x 3 . A function is composed of ed pairs and each pair is related , for example f (1 ,2 (3 ,4 (5 ,6

All linear equations are functions since the values in the functions may be solved using through the linear equation

2 . Is there an instance when a linear equation is not a function

br Support your answer

No , all linear equations are functions . For example , consider

Linear equation y 2x 3

x 1 y 2 (1 3 5

x 2 y 2 (2 3 7

x 3 y 2 (3 3 9

Therefore , the elements of function f are (1 ,5 (2 ,7 (3 ,9

Create an equation of a nonlinear function and provide two inputs to evaluate

Nonlinear function y 2x2 x 5

Sample evaluation

x 2 y 2 (2 )2 2 5 15

x 4 y 2 (4 )2 4 5 41

3 . What is the difference between domain and range ? Describe a real-life situation that could be modeled by a function

The domain of a function is the set of possible values of the independent variable while the range is the complete set of values of the dependent variable in a function (http /www .intmath .com /Functions-and-graphs /2a_Domain-and-range .php For example , in a group of 25 students in a class - 12 of which are males and 13 are females . If a function is to be created , each male may be paired with a female student . One male student may have 2 female partners . In this example , the domain is composed of the male students and the range is the female students

4 . Describe the values for x that may not be appropriate values even when they are defined by someone 's function . A function could , for example , indicate the amount of bone strength (y ) in a living human body over time in years (x

The bone strength (y ) is dependent on the living human body over time (x . In the case presented , the value of x may not be less than 1 and not greater than 100 . It would not make sense to look at negative years because the person would not yet be born . Likewise , looking beyond 100 years might not make sense , as many people do not live to be 100

5 . How can you determine if two lines are perpendicular

Two lines are perpendicular if they intersect at one another

6 . Systems of equations can be solved by graphing or by using substitution or elimination . What are the pros and cons of each method Which methods do you like best ? Why ? What circumstances would cause you to use a different method

Solving an equation using the graphing method is much easier to use because you only have to assume a value for x and immediately , by...