Function and Discussion Questions Compare
Week One Discussion Questions
Compare and contrast a relation and a function. How can you determine when a relation is a function? * -A relation is a set of ordered pairs and a function is the relation of the first component of a pair to the second component of the same pair. * -A relation is a function when a domain value of X only maps to one range value of Y. *
Explain how to determine the domain and range of a function. * -A set of ordered pairs have a first component which is the domain of a function. The second set in the function is the range. As long as the first component of two ordered pairs of a set does not correspond to the same range then it is a function. *
A function is defined as a correspondence between two sets of numbers. What does the notation f(x) represent? * -The f(x) notation represents the value of the function at the number x. *
Suppose you have a graph of a function which has no breaks or gaps and is decreasing on -the interval (c, d) and increasing on the interval (d, e) and defined at x = d. What does the function value f(d) represent? * -It represents the relative maximum or relative minimum values of the function. *
What must be done to the equation of a function so that its graph is shrunk vertically? * -You would need to take a real number that is greater than zero and less than one and multiply it to the original equation of the function. *
Describe the values of x which must be excluded from the domain of (f/g)(x). * -Any value which would make the denomination equal zero. *
Suppose you are provided with a function. How can you determine if there is an inverse function? * - The use of a switch-and-solve strategy would be the best route. Switch X and Y, then solve for Y. If the equation does not define Y as a function of X then the function does not have an inverse. *
How is finding the distance between two points in the rectangular coordinate
Compare and contrast a relation and a function. How can you determine when a relation is a function? * -A relation is a set of ordered pairs and a function is the relation of the first component of a pair to the second component of the same pair. * -A relation is a function when a domain value of X only maps to one range value of Y. *
Explain how to determine the domain and range of a function. * -A set of ordered pairs have a first component which is the domain of a function. The second set in the function is the range. As long as the first component of two ordered pairs of a set does not correspond to the same range then it is a function. *
A function is defined as a correspondence between two sets of numbers. What does the notation f(x) represent? * -The f(x) notation represents the value of the function at the number x. *
Suppose you have a graph of a function which has no breaks or gaps and is decreasing on -the interval (c, d) and increasing on the interval (d, e) and defined at x = d. What does the function value f(d) represent? * -It represents the relative maximum or relative minimum values of the function. *
What must be done to the equation of a function so that its graph is shrunk vertically? * -You would need to take a real number that is greater than zero and less than one and multiply it to the original equation of the function. *
Describe the values of x which must be excluded from the domain of (f/g)(x). * -Any value which would make the denomination equal zero. *
Suppose you are provided with a function. How can you determine if there is an inverse function? * - The use of a switch-and-solve strategy would be the best route. Switch X and Y, then solve for Y. If the equation does not define Y as a function of X then the function does not have an inverse. *
How is finding the distance between two points in the rectangular coordinate