3 1 3 -4 (a) Write a set of ordered pairs (x, y) that defines the...
Determine if the relation defines y as a function of x. 2 4 -3 -1 2 Yes, this relation defines y as a function of x. No, this relation does not define y as a function of x.
Consider the following set of ordered pairs. X 4 5 4 6 3 3 у a) Calculate the slope and y-intercept for these data. b) Calculate the total sum of squares (SST). c) Partition the sum of squares into the SSR and SSE. a) Calculate the slope and y-intercept for these data. y=-x (Round to four decimal places as needed.)
Determine whether the relation defines y as a function of x. Give the domain. y = √(5x - 7)
List the ordered pairs obtained from the equation, given {-2, -1,0,1,2,3} as the domain. Graph the set of ordered pairs. Give the range. y = 2x + 2 List the ordered pairs obtained from the equation with their x-coordinates in the same order as they appear in the original list.
(b) Let F, G and H be the following sets of ordered pairs F {(1,1), (2, 2), (3,7), (4,1)} G {(1,1), (2, 1) (3, 2), (3,3), (4,2)} н 3 {(1,1), (2, 3), (3, 4), (4, 2)} (i) Does F define a function f :{1,2,3,4} (ii) Does G define a function g : {1,2,3,4} (iї) Does H define a function h : {1,2,3,4} —> {1, 2, 3, 4}? (iv) For those of f, g and h that are functions, write down...
9) What does the mathematical symbol Il represent? 10 Let X = (1, 3, 5) and Y = {a,b,c,d). Define g: X by the following arrow diagram. Y . a. Write the domain of g and the co-domain of g. b. Find g(1), :.! c. What is the range of g? d. Is 3 an inverse image of a?" e. What is the inverse image of b? 1. Represent g as a set of ordered pairs.
R × R | x < y} . This means that R 10. Let R< = {(x, y) relation on R. is the "less than" 95 (a) What is the domain of the relation R<? (b) What is the range of the relation R<? (c) Is the relation R a function from R to R? Explai. Note: Remember that a relation is a set. Consequently, we can talk about one relation being a subset of another relation. Another thing to...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
10. [4] Let R be the relation on the set {0, {f}, {y}, {x,y}} defined by R= {(S, T): SUT|=2} (a) Represent the relation R as a set of ordered pairs. (b) Represent the relation R as a relational digraph.
Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't Know Submit