Use the graphs of f and g to evaluate the functions. y-fx) 4 4 y g(r) 3- 3. 2- |十 1. 2. -1 2. 3. 4 (a) (f o g)(2) (b) (g o f)(2)

Q: b. Use the vertical line test to determine if the relation shown in the graph below is a function. y…

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Q: Evaluate using the graph of f(r) and g(r) : ( +g)(4) 4. 1 2 3 4 5 6.

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Q: Is f(x) = ±√x, a function or a relation? Give reason/s to support your answer.

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Q: State whether the given relation is a function. Is the given relation a function? No Yes 4- 2- 14…

A: The relation is given by

Q: Label the graphs as f(x) or g(x). f(x) = 4* and g(x) = 2* y A. 3 4 -3 -4- -5 a. f(z) b. g(z) A: B:…

A: Given query is to identify the graph.

Q: Is the relation a function? Why? -7 3 11 O Yes, because the x-value 11 has two y-values pair with…

A: A function is a  relation in which each possible input lead to exactly one output value.

Q: For what value of "a" will this relation NOT be a function? { (а, 3), (7, —2), (3, 7), (2 — 8), (-8,…

A: We have to find a values for which it is not a function

Q: Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P =…

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Q: Which statement about a function is true? (i) For each value ofx in the domain, there corresponds…

A: A function is actually a “special” kind of relationship because it follows an extra rule. Just like…

Q: 7. Use the graph of y = f(x) below to determine which of the following is true when x = 2? -2 3 2…

A: As per bertleby guideline I have to solve only the first question. So for answer to other question…

Q: What is the range of the function y = -5* – 2? O (-2, 00) O (-00, -2) O (-0, -5) O (-5,00)

A: Range:-  range of the function is the set of all                     values that f ( function)  take…

Q: (a) What is dom(R)? (b) What is range(R)? (c) What is the relation R-1? (d) Is R a function from A…

A: Definitions :  Domain (R) : The set of all first components of the ordered pairs belonging to R is…

Q: 4. Explain how you know this is NOT the graph of the reciprocal function of ƒ(x) = (x − 2)². ✔ T 7 5…

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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: 3. Is the relation xy = 36 a function? Explain why or why not? Draw this relation.

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Q: Is the relation a function? Why. * -7 3 11 →5 8 O No, because each x-value has only one y-value…

A: for function each input ( x value) has unique output ( value)

Q: Which graph represènts the function g(x) = |x+ 4| + 2? 4- 4- 3- 3 2- 1- 4- 54 -3 -2 -1, 2 S4 -3 -2…

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Q: -7 3 11 →5

A: Given:      A function is a specific type of relation in which each input value has one and only one…

Q: 30. Determine the point of inflection of the graph of f. f (x) = x3 – 3x? O (3, 0) O (1,-2) O (0, 0)…

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Q: For what value of "a" will this relation NOT be a function? {(а, 3), (7, — 2), (3, 7), (2 — 8), (-…

A: The definition of the function is: Suppose y=fx is a function, then for each value of x has a unique…

Q: Describe the concavity of the graph of f(r)-(r-2)/ and find the points of inflection (if any).

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Q: left, right, upward, downward (a) How is the graph of y = f(x - 2) +1 obtained from the graph of f?…

A: Given (a) y=f(x-2)+1

Q: C If for a set of points (x, y) generated for this function, y( y-axis) was plotted versus T-axis),…

A: topic - function and its sketch the statement is false and graph is represented by 2nd option ,…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 8- 7+ 6+ 5+ 4+ 3+ 2+ 10 -9 -8 -7 -6 -5…

A: Consider the graph

Q: Use translations to graph the given function. b (x) = |x-1| +5 中 6- 5- -9 -8 -7 -6 -5 -3 -2 -1 6 7 8…

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Q: Use the vertical line test to determine if y is a function of x in the graph. ..... Which of the…

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Q: What is the vertex of the function f(x) = (x- 1)2- 5? O (-1, -5) O (1, -5) O (-5, 1)

A: Given:          f(x) = (x-1)2-5 Let               y = f(x)Then               y =  (x-1)2-5→If you…

Q: Complete this table so it shows a relation that is not a function. y -1 5. 3. 1. 2.

A: We have to complete the table so it shows a relationship that is not a function.

Q: Which graphs shows the function f (z) = a + 6x + 8z - 67 -9? 25 16 10 15 10 -10 -15 -40

A: Find your answer below

Q: Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) If (2,-2) 04 O 2 O-2

A: Please refer the attached image for complete solution.

Q: 1. Which relation is a function? A. {(x, y) | |x| + 1 = 5} B. {(x, y) | 2x? - y? = 1} C. {(x, y) |…

A: A relation is function if we have for each input there is exactly one output  As per our guidelines…

Q: Which of the following shows the interval where the function is decreasing

A: The intervals in which the function is decreasing is observed from the given graph.

Q: Ay Use the given graph of y = f(x) to evaluate the following. (a) f(-3) (b) f(2) (c) f(0) (d) f(-3)…

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Q: Use the given graph of the function f. y (2, 10) 10 (-2, 6) (-5, 0) (5,0) -10 (0, 0) 10 X (-8, -4)…

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Q: Select the choice that is a graph of the function x - 2 3. f(x) 2 (x+ 1)(a-3) -2 -7-6 -5 4-t -2 -2-…

A: Select the choice that is a graph of the function f(x) = (3/2)*(x-2)/((x+1)(x-3))

Q: The range of the relation;

A: We are given a relation R=x,y∈R2/ y3-x2+6y2+12y-2x+7=0 The objective is to find the range of the…

Q: Which graphs shows the function f (x) = x + 6x + 8z2 - 6z - 9? 20 15 -10 -15 20

A: Explanation of the answer is as follows

Q: Which of the following relations is not a function? 1 ล. b. 2 3 -2 1 5 d. -1 7 * -2 5 -2

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Q: What is the value of if f(x) is a curve whose function connects point (1,2) to point (3.5)? A) 8 B)…

A: Explanation of the answer is as follows

Q: -4 -2 -10 -8 -4 -2 4. 6 8, 10 -2 -8 -10 for f(x) = for

A: Write the equation of two straight lines separately and than define the domain.

Q: Use the graph of y =f(x) to answer the following. 4. 3- -1- -2- -3- (a) Determine f (-5). (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three Sub-parts for…

Q: Describe the x-values at which the function is differentiable.

A: The function given is y=x2x2-64. The derivative of the function y=x2x2-64. is,…

Q: Use the graphs of f and g. Let p(x) = f (x)g(x) and q(x) = f (x)/g(x).

A: Solution: Consider the given is p(x) = f(x) g(x) and q(x) = f(x) / g(x) (a) Take p(x) = f(x) g(x)…

Q: Test from the definition by drawing a graph that if g(x) = f(x)+c, then g'(x) = f'(x).

A: Introduction: The differentiation of a real-valued single variable function is the rate at which the…

Q: -16 -6 -4 -2 4 6 10 -2- 6- -8- 10- Given the graph of f(x) in the figure, what are the x-coordinates…

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Q: 6. Explain whether the relation given by the equation x=v² – 3 and graphed below is a one-to-one…

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Q: 2. Is every relation a function? Explain why or why not?

A: Topic = Functions

Q: 02. Which is the symbolic representation for a ceiling step function. A. f(x) = [x] B. f(x) = x C. f…

A: We find which of the following function represent ceiling function

Q: Use the graphs of f and g to evaluate g(f(2)) y (2,4) (4,3) (-2,1) If + (2,-2) 00 01

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.