8- y = g(x) 6- 4- х -4 -2 2. 8. 10 -2- y = f(x) -4- -6- -00 Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. (a) (g o f)(– 1) (c) (f o g)(- 1) (d) (f o g)(4) (b) (g o f)(0)

Q: 8 4 -4 3 -2 -1 01 4- 8- 12 16 State whether the corresponding function has even degree or odd…

A: A graph is the pictorial representation of something. Any function can be represented graphically…

Q: 10. The graph of the function f (x) = (x + 4)(x – 2)(x + 6) is transformed by a horizontal stretch…

A: According to our company answering guideline we can only answer first question(As specific question…

Q: (x-0) (x- 0) Vertex Form: f(x) = (x+ 0) +0 +.

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Q: The point (- 17, – 20) is on the graph of y = f(x). | a) A point on the graph of y = g(x) , where…

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Q: x-8 Let f(x) = 3x +8, g(x) = x²+ 7, h(x)= - 3 Find (g ohof)(8).

A: The given function,fx=3x+8, gx=x2+7, hx=x-83

Q: 5 - x 4 – x2 Determine where f (x) = is continuou - O (-0, -2) U (-2, 2) U (2, 5] O (-00, 5] O (-00,…

A: Given function is, f(x)=5-x34-x2

Q: 13. The graph of Function 1 and the table of values of Function 2 are given below. Select the…

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Q: 22. Graph of f 10 + 5+ -3 1 -5 -10+ 24. Graph of f'

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Q: 24 M124 -2. Analyze the graph and find the following - 0 -10- -7 -6 -5-5 -2 9 10 -2 a. Domain of the…

A: Remark: The domain of a function is the set of all possible inputs for the function

Q: ) Given that f(x) = 3x - 2 g(x) = 4x + 6 and h(x) = 2x2 -8…

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Q: Describe the concavity of the functionf(x) = -- x² 3. .2 O The graph is concave down for x O The…

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Q: 9. For a school experiment, Nichola recorded the height of a model rocket during its flight. The…

A: The standard quadratic form is                               y = ax2 + bx + c

Q: F1/2 1/2 Find the formula for the graph of the function f(x)ghven in the graph above. S(x) = 7-5cosx

A: Midline: The midline is calculated by addition the peak height from the trough height and dividing…

Q: Graph of the function f(x)=-x^4+8x^3+ax^2+b is attached. What is the value of a? -18 -15 -12 -9

A: We first find f'(x) using the power rule

Q: 5, find h' Let h(x) = f(g(x)). If f(2) = -2, f'(2) = -5, g(-6) = 2, and g'(–6) %3D %3D Do not…

A: As we know that: The chain rule: fgx'=f'gx·g'x Given: f2=-2,f'2=-5,g-6=2 & g'-6=5

Q: 11. A function, f(x), is defined by the equation f(x) = -x² + 4x. The graph shows another function,…

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Q: 01. Which staterment about end behavior |A. f(x) of the graph of f(x) = x* + 1 is true? → +∞ as x →…

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Q: 19 The graph of Function 1 is shown on the coordinate plane, Function 1 -5 -4 3 -2 1 -5-4-3-2-10 i 2…

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Q: 3. A function is negative over the intervals {x|-∞<x<-3} and {x|-1<x<7}. What are the zeros for the…

A: According to our company's guidelines, I can only answer first  half of the question, since you have…

Q: The graph of y =g(x) is the image of the graph of y = f(x) after a reflection and a stretch. The…

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Q: 1. Select all true statements about the graph that represents y = 2x(x -11). Its x-intercepts are at…

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Q: 6 - 7- E= {x|x F = {x|x is G = {X/X {시 the whose name is Country American Continent. is the one of…

A: Using set theory concept.

Q: 104 4. -10 -8 -6 -4 -2 O 2 4 6 8 10 -2 -4 -6 -8 -10 3. Match the graph with its function by…

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Q: 2. In the terminology, a function f(x) is even when its graph is symmetric with respect to the…

A: Even function: The function is said to be even function if f(-x)=f(x) Odd function: The function is…

Q: 21. 121. Time Spent in Line If two parking attendants can wait on 8 vehicles per minute and vehicles…

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: 6. The y-intercept is 7. The function is increasing for all values of x. The function is positive…

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Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: Q-2 A/ A 150 pounds of (NaCl) is dissolved in the solution in container A and 100 pounds of (NaCI)…

A: Consider the given information. (a) First, we have to calculate the number of pounds of salt at time…

Q: 94 8- g(x) 7- h(x) 6- 5 4+ 21 x-values x-values g(x) h(a) If f(x) then f'(2) = 2. 3. values 3. 2)…

A: according to given figure gx=-x+9hx=x+52,x&lt;52-x+152,x≥52 so, at x=2 given functionfx will be…

Q: e* -1 f(x) = graph on the interval [-2, 2].

A: As per the instruction, we will be answering only the first one. For (a), We are given the function…

Q: Let f(x) = - 0.8x(x - 9) and g(x) = 1.4x + 5.5 for 0sxs8 (A) Graph f and g in the same coordinate…

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Q: 9x2 + 6x 8 - 2)(3z+ 4) (3x- - 3. (2x +3)(4r- 5) - Let f(x) = -3. %3D %3D - 8x2 + 2x - 15 1) The…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: x² – 1 is: x - 2 the domain of f (x) = 1\ - (-0, -1]0 (-1,2) U (2, 00) O (-1,1] U (2, 0) O (2, 00)0

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Q: EXAMPLE 1 Find where the function f(x) = 3x* – 4x³ - 120x? + 1 is increasing and where it is…

A: Given: fx=3x4-4x3-120x2+1 Derivative given function with respect to 'x' . f'(x)=12x3-12x2-240x…

Q: 3 f(x)=x ° and g(x)=4-3x and 0<x<2 You may assume that the graphs shown below intersect when x = 1 -…

A: Given , Over the interval  [0,2]

Q: Basic Calculus i fcx) =x 3, at x =2 2. f cx) =x -7, at x =5 3. fCx) =x/ (x -4), at x =4 I.Determine…

A: Given: f(x)=x+3,  at x=2I. To detremine the function is continuous are notII. To graph the given…

Q: The y-intercept is (0, 0). The x-intercepts are (0, 0), (2, 0). Degree is 3. End behavior: as x →…

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Q: 2n 3 3 -2- The sketch shows the graphs of the functions f and g. The function f is defined by y =…

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Q: 1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y2 +…

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Q: 3. Given f(x) = x + 1 and g(x)=x² - 2x - 3 a) Graph f(x) and g(x) on the same axis. V b) Use the…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: 13. Choose all the statements that are true about the graph. I. The x-intercept is 9 0.5- I, II, V…

A: Given: The graph of function as To determine: Which of the following statement are true about the…

Q: Let k(x) = f(x)g(x) . If h(x) %3D f(-2) = -5,f'(-2) = 9, g(-2) = -7, g'(-2) = 8, h(-2) = 3, and…

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Q: Gil takes a walk one morning. The graph shows the relationship between the distance he is from home…

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Q: 2-X is 3-x The range of f(x)= R-{-1} R- (1} R-{3} O R-{-3} None of the above

A: There are certain steps which we need to follow to find range of a function. Let's discuss those…

Q: 4. -2 8 -10 5432-1 0 1 2 3 45 The student sketched the graph so that it crosses the x-axis at x = 0…

A: Given: The graph crosses the x – axis at x = 0  and it is tangent to the x – axis at x = 4.

Q: A) The graph is increasing for -2 <x<3 B) The graph is negative for -3 <x <0 C) The graph is…

A: Graph is given

Q: 2. f(x) = x2 - 4x - 5 b= y-intercept: ( a= Axis of Symmetry 2a - y Vertex ( 10- f(x) -1:0 8. 10…

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Q: The number of fatalities due to car crashes, based on the number of miles driven, begins to climb…

A: Nx=0.0336x3-0.118x2+0.215x+0.7N0=0.033603-0.11802+0.2150+0.7=0.03360-0.1180+0.2150+0.7=0-0+0+0.7=0.7

Q: -2 6 -10 -8 -6 -4 6 8 -8 -10 On what interval of x-values is the function g(x) increasing? A. (-3,…

A: from graph  g(0)=-3 g(1)=0 g(2)=5 g(3)=6 g(4)=6 g(5)=6 g(6)=6 g(7)=4.5 g(8)=3 g(10)=0