29. In a mathematics examination, there are 50 multiple choice questions. 1 mark is awarded for each correct answer, mark is deducted for each wrong answer and no mark is deducted for an unattempted question. John takes the examination and does not attempt 6 questions. Suppose John gets x correct answers, and S(x) is a function representing John's score. (a) Find the function S(x). (b) Find the domain of S(x). (c) If John's score is 34, how many questions does he answer wrongly? -Example 3.9

Q: There are 16 bands competing in a battle of the bands to play at the next school dance. After each…

A: After each round of competing the battle of bands to play, the situation is represented by the…

Q: A culture of bacteria in a laboratory is subjected to a substance to decrease the number of bacteria…

A: Set e-t2+5t+3 equal to 100 and then solve for -t2+5t+3. e-t2+5t+3=100ln e-t2+5t+3=ln 100…

Q: For what values of k will the set of ordered pairs ((1,10),(2,9),(3,8),(4,7),(k+2,6)} represent a…

A:

Q: function. 2. Determine if the equation x-3y =1 is a function.

A: An equation is said to define a function if for a particular value of x, there exists only one value…

Q: equation? represent the time it takes her to write the test, when she is distracted for part time,…

A:

Q: 7. Which of the following is NOT a function? A. {(Manila, Philippines)/Tokyo, Japan), (Paris,…

A: Note:-Since there are multiple question s and only one question will be answered at one time…

Q: Write the following graph as a piecewise function: 2 1- -4 -3 -2 -1 2 4 -2- -3 -4 -5- --6 -7 N-

A:

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: Suppose that f is an even function and g is an odd function (both with domain R) . If f(3)=4 and…

A: Given, f is an even function and g is an odd function. f(3)=4 and g(-3)=5 Identity: For even and odd…

Q: 14) Determine the equation of the piecewise function shown on the right. V X -1 Ñ N

A: We have to determine the equation of the piecewise function from given graph.

Q: 1. Johana works in the crime lab at the New York City · Police Department. A woman's shoe was found…

A: Here a function which represents the relationship between height of the woman and the shoe size of…

Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: 8 Where does the graph of the function hx) = x*+3x-4 cross the x-axis? A. x= - 2 and x 2 B. x= - 2,…

A:

Q: The function f(x) = 260 – 55x represents the distance, in miles, remaining on a trip æ hours into…

A: GIVEN f(x)=260-55xTo find f(3)=?

Q: 8. A farmer has 2000 feet of fence. He plans to build a rectangular pen for his chickens adjacent to…

A: Lets take, the length of the other side is y. Thus, the total length of the three sides of the…

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: {(-9,-1),(-3,1),(8,8),(1,1)} Does the given relation represent a function? Yes No.

A:

Q: Let x + 3 x+7 ƒ-¹( - 7) =

A: The given function

Q: (instruction: take x = - 1.50, – 1.00, - 0.50,0,0.50, 1.00, 1.50)

A:

Q: a. Define a function k that determines the total number of square feet Brian needs in terms of the…

A: a) For 1 giraffe, he should allow 9000 square feet of grazing area. Therefore, for n giraffe, the…

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: Which of the following shows the interval where the function is decreasing

A: The intervals in which the function is decreasing is observed from the given graph.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.