8. Consider the function f 1,2,3,4 1,2,3,4} given by the graph below. f(x) 4 3 2 1 2 3 4 a. Is f injective? Explain. b. Is f surjective? Explain. c. Write the function using two-line notation.

Q: f(x,y)=x+y f(x,y)=x-y

A: Solution Given f(x,y)=x+yf(x,y)=x-y we need to draw the following function

Q: Sketch the graph of a function that satisfies the following 3. conditions: (a) f'(0) f'(2) = f'(4) =…

A: There are many ways to draw the graph. From part (a), observed that the function has local minimum…

Q: (3) Create the function which best describes the graph show below. f(x) 8 6 -5 -3 -7 -6 -5 -4 -3 -2…

A: Given graph is described by piecewise function

Q: Sketch the graph of a function f having the given characteristics. f(2) = f(8) = 0 f'(5) = f(7) = 0…

A: The value of function f, first derivative (slope) f', and second derivative f'' at various values is…

Q: 2) Given the following information about a function f, sketch a possible graph of the function:…

A:

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(2) (b) (g ∘ f)(2).

A: (a) f∘g2=fg2=f2=0 Hence the answer.

Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

A:

Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

A:

Q: The figure below shows part of the graph of a function f(x) for x in [-7, 4]. Based on the graph…

A: Let's find sets of one one function.

Q: 23. Given f(x) is graphed below, sketch f-1(x) on the coordinate plane with f(x). (1,2) -5- 0 (1, 1)…

A:

Q: Given the table for the function, h(x), what is the domain for h=1(x)? h(x) 1 3 2 3 4 12 O {1, 2, 3,…

A: In case of inverse function just interchange the domain and range.

Q: Consider the function f (z) =-1(z+3)-2 shown in the graph below. %3D

A:

Q: 5 Write the algebraic representation for the following piecewise function, using function notation.…

A:

Q: 58. Given that the domain of a one-to-one function f is [-3, 5) and the range of f is (-2, ∞), state…

A: Given, the domain of a function f is [-3,5) and range of is (-2,∞)

Q: 1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8),…

A:

Q: 7. Sketch the graph of a function f that satisfies the following: f'(0) = f'(2) = f'(4) = 0, f'(x) >…

A:

Q: (a) What does it mean if a function f: A B is not surjective?

A:

Q: A1). Sketch the graph of ONE function such that ALL of the following hold: i). f"(x) 0 for x> 2…

A: Graph of function

Q: Consider the function f : {1,2,3,4,5} → {1,2,3,4} given by the table below: 1 2 3 4 5 f(x) | 3 2 4 1…

A:

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- 6 4. 2. -6 5 -4 -3 -2…

A: Garaph

Q: Given the domain of f(x) is (-∞, 0) and the graph of f "(x) is shown below, find where f '(x) is…

A: The objective is to find where f'(x) is decreasing using the graph pf f''(x).

Q: Suppose that the function f is defined, for all -2x +3 if x <2 f(x) = x-3 if x22 Graph the function…

A:

Q: Consider the function f : {1,2,3,4} → {1,2,3,4} given by the graph below. f(x), 4 3 1 1 2 3 4 (a) Is…

A:

Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

A:

Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

A: .

Q: 8. A car manufacturer determines that its profit odeled by the function P(x) = 0.00125x4 + x - 3, wi…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 5. Explain how to transform the graph of the function f((x) = x to obtain the graph of the related…

A: 5.  Given f(x) = x2.....(1)g(x) = -2 f(x+1)-3  .....(2)from (1) f(x+1)=(x+1)2 ∴g(x) = -2(x+1)2-3 To…

Q: 25 – 3 Evaluate the domain of the function h(z) = 3 - z2 - i

A: The domain of a complex function f(z), is the values of z for which the function is defined .

Q: Express the function f(z) = 4|z – 2| – |z + 2| in piecewise form without using absolute values.…

A: The given function is: f(x)=4x-2-x+2

Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

A: We are given the graph of the derivative of the function f(x). We have the following definitions…

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: Consider the following five functions. • a(x) = x − 2 • b(x) = |x| • c(x) = x + 2 • d(x) = −x • e(x)…

A: Given, ax = x-2bx = xcx = x+2dx = -xex = x+4   fx=e∘d∘c∘b∘ax   f(x) is the composition of the five…

Q: | What are the features of the function f(x) = ()“ – 1 graphed below? %3D 12 11 10 7 6. 4 3. 2 3 4 5…

A:

Q: 3. Construct table and sketch the graph of the function.f:x → 3x²,x €R for given domain x = -4,…

A:

Q: 6. Below is an injective function. * A 3 C D O A. True O B. False 2.

A: See the details solution in below

Q: (3) Create the function which best describes the graph show below. f(x) -8 6- 4. -3 -2 6. 7. 8 9. 10…

A:

Q: 8. Use the graph of the pieces use function h(x) below to fill in the blanks in the set of function…

A: We need to fill in the blanks.

Q: Select the choice that is a graph of the function a +3 f(x) = - 2- ( + 5)(*- 7) -17-11-10 -9 3 -7 -6…

A: Please see the explanation below

Q: 18. Use the vertical line test to determine if y is a function of x in the graph. Which of the…

A: The given problem is to check the given figure is the function of x or not using the vertical lines…

Q: Consider functions f : [5] → [9] (a) How many of the functions are injective

A: Given :  f :5→9  Calculate : Number of injective functions.

Q: (3) Create the function which best describes the graph show below. f(x) 6 7. 5. 3. -2 1. -6 -5 -4 -3…

A:

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7 5 4. -3 2- -6 -5 -4 -3…

A: For the given graph we need to define the function accordingly.  As per the answering guidelines, we…

Q: 1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process. 2)Is there…

A:

Q: Consider the function f whose graph is shown below. (a) f(z) 9- -8- 7- 6- 5- 4- 3- 2345 67 89 2+ -3+…

A: Proceed as shown below

Q: 2. Let f(x) be the following piecewise-defined function -x3 – 6, x 2 (a) Sketch the graph of f(x).…

A: Definition used –           Piecewise function –  A piecewise function is a function in which more…

Q: The graph below is the function f(x) 25+ 20 15 10 5 5. 10 15 20 25 25 -20 -15 -10 -5 -5 -10 -15 -20…

A:

Q: Use the graph to answer the question 10 -40 10 Where is f(x)>0: Where is f(x)<0: Where is f(x)=0:

A:

Q: 3. Consider the following graph of a function f(x): f(x) -3 -2 -1 This graph shows all x-intercepts…

A:

Q: 7. Use the graph of f(x) below to sketch a graph of the transformed function. 2f(x – 3) F(x)

A: Given is a graph of the function f(x)   To Find: The graph of the function 2 f(x-3)