The functionh is defined as follows for the domain given. h(x) = 2-2x, domain = {-3,-1, 2, 4) %3D Write the range of h using set notation. Then graph h.

Q: Use the techniques of shifting, compressing or stretching, and reflections to graph f(x) = - | x + 2…

A: We will start with the graph of f(x) = |x|. We know that its graph looks like Then, we will reflect…

Q: Sketch the graph of each relation by hand. Include a minimum of five points. a.y=-4(x + 2)² +8 b.y…

A:

Q: (LO8) 14. Choose the correct graph. f(x) = -4(x - 1)2 - 1 -t0 x .01

A: Choose the graph

Q: Given the following graph of f(x), state a) the domain b) the range 3t -6 -5 -4 -3 -2 -1 4

A:

Q: For Exercise, a. Graph the function. b. Write the domain in interval notation. c. Write the range in…

A: The graph of the given function h(x) is shown in figure below.

Q: Write the domain and range of the function using interval notation. domain range y 10- 9 8 7 5 3 2 X…

A: Domain:Set of x values Range:Set of y values

Q: If g(x) = VF(x), where the graph of f is shown, evaluate g'(3). %3D

A:

Q: Find the domain and range and sketch the graph of thefunction  h(x) =. √ 4-x2

A: Now domain is the set of all values of x for which,

Q: If f(4) = 19, then the point (4, is on the graph of f.

A:

Q: (a) Draw the graph of f(x)

A: Consider the exponential function:

Q: If f(4) = – 2, then the point is on the graph - of f.

A: In the question we have to find point on graph.

Q: Write the absolute value function in standard form for the giving graph use a or B as directed

A:

Q: (2,-3)

A:

Q: Use the given graph of f to state the value of each quantity, if it exists. (If it does not exist,…

A:

Q: Use the graph y=g(x) to graph the given function. 12- 6- -12 -9 -6 -3 12 -3- y = g (x) -6- -12- y=5g…

A: Given: Let us use the given graph y=g(x) to graph the given function y=5g(x)

Q: Determine whether the given points are on the graph of f(x) = 2x + 3 Select all points that lie on…

A: Given: y=f(x)= 2x+3y= 2x+3at (0, -2) ⇒ x=0      y= -2    at x=0    y=f(x)= 2(0)+3=3  (0,-2) not on…

Q: b) Use your graph to determine f (3). c) Determine two other values, a and b, such that f (3) = f…

A: We are familiar with the following: Amplitude : It is the height of the graph measured from the…

Q: Write the domain and range of the function using interval notation. domain range y 1아 9- 8 가 4 3 2.…

A: The function started from x=-3 (excluded) and went towards the extreme right. That means towards…

Q: On the blank before each item, Write T if the statement is true and F if it is false. The graph of…

A: As per the instruction, we will be solving only the first one. We are given the following statement.…

Q: Use the graph below to find the limits. y =f(x) 40 -2- x -4 -2 4 6. -2- -4

A:

Q: The function f is given by f (x) = (x +3)² – 1. 1. Choose the coordinates of the vertex of the graph…

A: I have given the solution in step 2.

Q: Graph the relation x2/9 - y2/16 = 1. Use the relation’s graph to determine its domain and range.

A: Given relation:                            x29-y216=1

Q: Use the graphs of f and g to graph h(x) = ( f + g)(x).

A: Here the graph of f(x) and g(x) is

Q: If f(9) = 19, then the point (9, is on the graph of f.

A: Given, f(9)= 19----equation 1 We know that the basic format of the function is given by, y= f(x)

Q: Use the graph to evaluate the expression.   (a) f(1) (b) f^-1(1) (c)f^-1(4)

A: (a) The curve passes through (1,1), so when x=1, y=1 Therefore, f(1)=1 (b) x=f-1(y). Again,curve…

Q: Complete the description of the piecewise function graphed below. -5 { if -6 < z< - 3 f(x) = { if -3…

A:

Q: Find domains and ranges of the following relations? Write domains and ranges in interval notation

A: We can find the domain and range from the graph in the following steps.

Q: Use translations to graph the given function. 9) a(x) = /x - 2 - 1

A:

Q: The graph of the relation H is shown below -4 -3 -2 3. -1 -2- Give the domain and range of H. Write…

A:

Q: For Exercise, graph the functions and write the domain and range in interval notation. h(x) =

A: The graph is,

Q: Graph the function g (x) = 2^ and give its domain and range using interval notation. X-1 8- 6+

A: given  g(x)=2x-1

Q: Which statement is true about function f, which is shown in the graph? f(x) = -875 + 4x3 + 5x

A:

Q: Given the graphs of f(x), f'(x) and f"(x). Determine which is which. 1 2 3.

A: GIVEN

Q: Complete the description of the piecewise function graphed below. -7 6 -2- { -1 if f(z) = {2 if| { 3…

A:

Q: The graph represents the function f (x) = 3x² – 6x. Identify each of the properties listed -4 -3 -2…

A: In this question we have solve the given function.

Q: For Exercise, a. Graph the function. b. Write the domain in interval notation. c. Write the range in…

A:

Q: Use the graph of y = f(x) to solve f(x) s 0 and f(x) > 0. Write your answer in set-builder or inter-…

A: The characteristics or a behavior of the curve can be captured by the interval…

Q: The graph of the relation H is shown below. -2 -1 -2- Give the domain and range of H. Write your…

A: We will find the domain and the range of H as following.

Q: Given the function: y = -r + 3 and it's graph below, type in the number corresponding the answer for…

A: Given function y=-12x+3

Q: Given the graph below, state the end behaviour of f(x) as x → 0 y ,7 1125 (, 256 -2\-18, 1 3…

A:

Q: For the​ correspondence, ​(a) write the​ domain, ​(b) write the​ range, and ​(c) determine whether…

A:

Q: Use the given graph of f and g to evaluate the expression. (g ∘ f)(4)

A: here we have to find (g∘f)(4)=?

Q: Given the graphs of f(x), f'(x) and f" (x). Determine which is which. 2. 3.

A:

Q: This is the graph of y = -x2- 2x+2. (-1, 3) What is the range of this function? O A. y2 3 O B. x2-1…

A: Let y=f(x)=-x2-2x+2 It is clear from the above graph that at x=-1 the function take the maximum…

Q: Find the domain and the range and sketch the graph of the function 3x+ (a)G(x)= x+9 - 2x if x 3…

A: the domain is the set of values that a function can take and the range is the set of values that a…

Q: Find the domain and range of the relation. Assume the ends of the relation continue on. a) -14

A: For domain, take the value of x at which given graph is defined (i.e., value on x-axis). For range,…

Q: Find the domain and range of the function graphed below, in interval notation. -5 -4 -3 -2 -1 -1 4…

A:

Q: Given the graph of the functionf , find the following: 6- 7 4 3 \2 -9 -8 -7 -6 -5 F4 -3 -2 -1 -1 1 2…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.