12. Graph each function and its inverse relation on * the same set of axes. Determine whether the inverse relation is a function. a) f(x) = x² – 4 b) g(x) = 2* %3D %3D

Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D…

A: here f(1)=2,g(1)=1,f(5)=3,g(5)=2 Lets find f'(1),g'(1),f'(5),g'(5): for 0≤x≤2…

Q: In what degree of homogeneity is the function

A:

Q: Which value of k will result in the relation not being a function?

A: Solution is in second part

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

A:

Q: Sketch the graph of the function, x + 1, x', х — 1, if x 2

A: Given function  f(x) = x+1,if x<0x2,if 0≤x≤2x-1,if x>2

Q: 1 g(x) = /3 — х

A:

Q: Graph the function defined by g(x) = |x + 2|.

A: Given function is, gx=x+2. Graph the absolute value using the vertex and few selected points.   x…

Q: g(x) = -(x + 2)*

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

Q: /hich of the following relations is NOT a function? *

A: Use the vertical line test to determine whether or not a graph represents a function. If a vertical…

Q: Sketch the graphs of the following functions. (a) f(x) = x2   (b) g(x) = x3    (b) h(x) = √x

A: Graph of fx=x2 We have f-x=-x2=x2 Graph is symmetric about y-axis.

Q: d. Discuss where the following function is discontinuous and why? yA 6. 00 2.

A: The given function is:

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

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

A: Given Graph of the function

Q: Use transformations of f(x) =x to graph the following function. h(x) = (x + 3)? +6

A:

Q: Suppose that represents the number of violent crimes committed in year x and represents the number…

A: Given thatNumber of violent crimes committed in year xNumber of property crimes committed in year…

Q: Express h(x) as a composition of two functions:    h(x) = ∛( x2 + 1).

A: Given: h(x)=x2+13 To find: The composition of two function. That is h(x)=f(x)∘g(x)

Q: Consider the following two functions: In(x + 3) and x 0.4 Which function dominates as 0.4 0.4 00?…

A: Given that: Two funcitons: ln(x+3) and x0.4

Q: Compare the graphs of the functions. Y, = In(2x) and Y2 = In 2 + In x

A: we have to compare the graphs of  Y1=ln(2x) and Y2=ln2+lnx

Q: The parent function f(x)=x² is related to g. Describe the sequence of transformations from f to g.…

A:

Q: Suppose that V(x) represents the number of violent crimes committed in year x and P(x) represents…

A: Given  V(x) represents the number of violent crimes committed in year x  P(x) represents the number…

Q: State whether the following statement is true or false. The graph of the reciprocal function f(x) =…

A:

Q: es not represent a function.

A: Given that : Graph  :

Q: Which graph of a relation is also a function? to A. В. С. D. Y

A: To choose: The graph of a relation is also a function. Concept used: Vertical line test. If a…

Q: 44. Write the complementary function for the given DE.

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 7. Andre graphed the parent function f(x) and a new line d(x). If d(x) will have a slope of and a…

A:

Q: Sketch the graphs of the functions. f(x) = 3x and g(x) = x/x + 1 %3D y y 30 30 20 20 10 10 X -5 5 -5…

A: Consider the given functions, fx=3x and gx=xx+1 first, find the point of intersection of the graphs,…

Q: 4 Use a transformation of the graph of y =x* to graph the function. f(x) = (x + 3)* Select the graph…

A: Consider a function fx. The horizontal shift in the graph by d units is given by the function,…

Q: Express h(x) as a composition of two functions: h(x) = √(x2 + 5)

A:

Q: 5. Draw an accurate graph of the function f(2) 101 10 %i4

A: Givenf(x)=3-56x

Q: Use transformations of f(x)= x to graph the following function. h(x) - - 6

A: Given function is fx=x3. To transform the above function to hx=-x+63. Since the transform function…

Q: What is the end behavior of this following function? y

A: The graph given represents a function with even power of x and a negative constant.

Q: Which of the following is an even function?

A:

Q: Sketch the graph of the following piecewise -defined function by plotting points: f(x) = {x +2x if x…

A: we have to draw by put some value of x and get f(x)

Q: The graph of a function f is shown. Which graph isan antiderivative of f and why?

A: The graph for the curve f is :

Q: Is the given diagram below depicts a function or not? *

A: The given mapping is

Q: Determine which of the following relations is a function.

A: A function is a relation for which each value from the set the first components of the ordered pairs…

Q: A function is even if the opposite input results in an

A: For even function :f(-x)=f(x)

Q: show the graph of the given functions

A: Here it's told to show the graph of given functions. We will plot the graph of both the functions…

Q: 2. Determine which of the graphs below are functions from R into R. (a) (b) (c)

A:

Q: Which statement correctly describes the end behavior of the following function? h(x) = 7(x+2) As x…

A: Find limiting value

Q: A relation between x and y is a function when what?

A:

Q: ? What is the domain of the function h(x)=

A:

Q: 4. If the point (2,8) is on the graph o following functions? Explain your a) y = f(x – 2) b) y+3 =…

A:

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: Draw the graph, of the functions determined by the given formulas 1. f(x) = 4-x? %3D

A: As per our guidelines we are supposed to answer only first question please repost other parts in the…

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…