Use the graphs below to estimate g(f(3)). 3 3 f(x) g(x) -3 3 -3 Give your answer correct to one decimal place. 8F(3)) = i

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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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) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

Q: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

Q: Analyze the graph of the function f(x)=4|x+9|+12 compared to the graph of the absolute value…

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Q: 4. Given the graph of f(x) below, sketch the graph of f'(x) and explain how you arrived at your…

A: The graph is drawn by free hand.

Q: Q3/ Sketch the graph of f(x) = x+1

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Q: 8. Given the graph of f(x), sketch a plausible graph of f'(x). Provide an explanation for the graph…

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Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

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

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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: -3x – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

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Q: 2. Graph the function: f(x) = - er-1 +2 x y xy

A:

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

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2  what is value a?

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Q: Use graphical addition to sketch the graph of f+g.

A: Consider the given graph.

Q: The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 3000 2000 1000 -10 -8 -4…

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: 6) Given the function H(x) = V2x – 3 , complete the table of values and use it to sketch the graph…

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Q: Compared with the graph of f(x) the graph of x' 1 g(x) : 1 is shifted 2 units , and x + 2 1 unit

A: Given : Compared with the graph of f(x) = 1x , the graph of g( x) =1x + 2 - 1 is shifted 2 units…

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: 6. Given the graph of f(x), y -50 0 100 200 X- 300 -2 -3 -4 -5 -6 a. Estimate f(50). b. Estimate x…

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Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: S [-x], if – 1<x <1 x² – 4x, Sketch the graph of f(x) otherwise

A: Given that: fx=-x, if -1≤x≤1x2-4x, otherwise   Note: x = The greatest integer function ⇒ The…

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

A: Given graph is: (a) To determine f-3. Here, input value is x=-3. From the graph we can find that at…

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…

A:

Q: Use the graph of f(x) to sketch the graph of g. 2 g(x) =+5 %3D y 10 f(x) = -4 -2 2 4. -5 10

A: Vertically translating a graph is equivalent to shifting the base graph up or down in the…

Q: 2 Graph the function g (x) =x+1 ?

A:

Q: The graph f(x)- x² is transformed to create m(x) - f(bx)², where "b" is less than 1 but greater than…

A: Given function is                                                                         f(x)=x2…

Q: Suppose that G(x) = F(x-4). Which statement best compares the graph of G(x) with the graph of F(x)?…

A: We have to use simple transformation rules to find out the answer

Q: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function…

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Q: y = f(x), 하 4- 3- 2 -5 -4 -3 --1 45

A: Definition used -               Horizontal shift -             The graph of a function f(x)…

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: 9. Sketch the graph and determine the domain and range -x', x 2

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Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

A:

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: Draw the graph of g(x) = f(x + 2) below. After finishing the graph, click outside the grid to stop…

A: Known fact: The graph of y=fx+a, a&gt;0 can be obtained by shifting the graph y=fx, a units left…

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: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

Q: Given the graph below, solve f(x) < g(x) 5 4 g(x) 3 2 f(x) 1 -5-4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 -5…

A: f(x)&lt;g(x)From graph for x∈-1,∞, f(x)&lt;g(x)

Q: 2. Below is a graph of f(x) = |x|. Sketch g(x) = |x| + 4 and h(x) = |x|– 3 on the same axes. How are…

A: f(x)=|x| , g(x)=|x| +4 ,h(x)= |x|-3…

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.