The graph of f(x) (dashed line) and g(x) (solid line) are given below. Evaluate each of the following using the graphs below. a. g(- 5) + f(2) =, (fxg)(- 6) = b. (g- f)(3) = %3D C. d. f(1)+g(- 6) = e. f(g(- 2)) = f. g(f(- 6))- %3D %3D

Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

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Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

Q: h(x)=8x3+8x2−3x−2, what is the x coordinate of the inflection point for the graph of h(x)? (Do not…

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Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: Sketch the graph of the function

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Q: Draw the graph of f(x) – (x + 3)?

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Q: s the graph of /(x), which function g(x)-4(x-C)+D hn as its graph?

A: Given query is to find graph of g(x) from f(x).

Q: Which of the following graph shows the range for 8. x = 0 f(x) = (-4x² + 4, x + 0

A: Given  f(x) = 8,x=0-4x2+4,x≠0

Q: e) Draw the graph of f. x2 f(x) 16 — х2

A:

Q: 5. A point on the graph of y = f(x) is (3, 5). The corresponding point on the graph of y = f(3x) is:

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Q: Use the graph of f(x) = 3√x to obtain the graph of h(x) = 3√-x.

A: Obtain the graph of hx=-x3

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

A:

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

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Q: what would a graph with the function f(x)= 1/x look like?

A: Given function is f (x) = 1/x.

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

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Q: Find the points on the graph of the function that are closest to the given point y = x2 − 2,     (0,…

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Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior…

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Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: 2. Given the graph of the function:

A: Given :    Reciprocal graph is given .

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

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Q: Determine the point(s) at which the graph of -6x

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A: Given: fx=27x3Point3,1

Q: Use the graph of y=f(x) to answer the following. 4- 3+ 10 -1- -2+ -3- Part 1 of 8 (a) Determine f…

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Q: Which of the following is the graph of f(x)= (x-2)^3 A,B,C,D, or E??

A: The given function is x-23. In this question, we have to find which one is the correct graph of the…

Q: given the function h(x) = - x/2 + 1 calaculate the values of h(-2) and h(3)  and draw a graph.

A: We have to evaluate the value of the function hx=-x2+1 at the points x=-2 and x=3. First we have to…

Q: 2 Q5 / Sketch the graph of function y = =+ 3x

A: Given function is y=2x+3x Domain : ℝ-0 where ℝ denotes the set of real numbers  Range : (-∞,…

Q: The graph of y-Jx) is shown. HS4 2 3 4 5 -2 -3 Evaluate x when x) 4

A: The graph of the function f(x) is shown below:

Q: How does the value of a affect the graph of y = ax? Discuss the case for a 1 and for 0 s a s 1.

A: When a >=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: 2 / Sketch the graph of function y = + 3x

A: We have to sketch the graph of the given function   The given function is   y=2x+3x

Q: For what values of x is the graph of y = e concave down?

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Q: Find an equation for the graph sketched below: 8- 7- 2- -5 4 -3 -2 - i 2 3 4 5 -2- -7 -8- f(x) =

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Q: Over what interval is the graph of y = -x- 2| increasing? O A. (2, 00) B. (-00, 2) O C (-00,-2) O D.…

A: Graph is increasing when derivative is positive

Q: Sketch the graph of the function. y = −4 csc 3x

A: Given: y=-4csc 3x

Q: Based on the graph, find the range of y = f(x). O A. [0.13] 4 if - 4sx< - 3 В. [0,4] f(x) = { x if -…

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Q: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: Given the graph of y = f(x) below, find the value f(-3). 4 3 2 -8 -7-6 –5 –4 –3 –2-1 1 2 3 4 56 7 8…

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Q: А. С. В. D. 2. Which of the given graphs above represent for the function y

A: 2. Given that, the function is y=15x. Find the ordered pairs to sketch the graph of the function as…

Q: Sketch the graph of the function. y = e−x2

A: we have to sketch the graph of y=e-x2

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.