15 10 5- -8 -6 2 4 6 8 -5 - 10 -15 - 20 Determine intervals on which the function is concave up. (Enter your answer using interval notation.) Determine intervals on which the function is concave down. (Enter your answer using interval notation.)

Q: 8. Find the absolute max and min values of the function f(x) = (22 - 8)2 on the interval [-3,0].

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Q: 5. Which function does NOT have a range of all real numbers? O A. f(x) = 3x %3D O B. f(x) = -0.5x +…

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Q: absolute max and min values of f(x)=x^2 +2/x on the interval [1/2, 2]

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Q: 17. The interval for function Is+3|2 1/2 is (-7/2,- 5/ 2] 0(-7/2,-5/ 2) (-00,-7/2)u(00,-5/2)…

A: Given: s+3≥12 We have to find the interval in which the given inequality satisfies.

Q: 2. The function h(t) has domain [-10, 10]. Some values of h(t) are shown in the table below. h(t)…

A: Given: The function h(t) domain [-10, 10]. Some values of h(t) are shown : t h(t)  0 5.216 2…

Q: Which of the following correctly states the interval that the function f(x) = 2x* - x² - 12x² %3D +x…

A: Given:     To determine: intervals in which f(x) is decreasing

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The solution of the problem is given in the next steps.

Q: (a) Let f: [a, 6] R be abounded monotonic decreasing function. Show that fE R([a, b).

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The function f(x) = 2x° - 36x + 162x - 5 has two critical numbers. The smaller one is x = and the…

A:

Q: 8. A function is initially defined by the set of coordinate pairs (-3, 7), (1,5), (4, 13)}. Which…

A: We use the definition of function to answer the given question.

Q: 12. True or False The independent variable is sometimes referred to as the argument of the function.

A: The independent variable is sometimes referred to as the argument of the function.

Q: The function fox) = 3 x4-4 x3-12 x2+1, is decreasing on the interval (-∞,-2)U(0,2) .A (-1,0)U(1,∞)…

A: The given function is f(x)=3x⁴-4x³-12x²+1 Then f'(x)=12x³-12x²-24x Now for the decreasing of the…

Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: 4 -6 -5 4 -3 -2 2 3 4 5 6 -2 -3 -4 -5 16+ Write the domain of the function using interval notation.…

A: The function is shown in the graph.

Q: 3. Find the value of the function: If f(x) = 3x - 4x + 3x+ 4, find f(-3). f(-3) = %3D 4. True or…

A: Given that3. f(x) = 3x3-4x2+3x+4find f(-3)4.the relation {(5,2),(0,1),(5,-6),(-3,12)} is a function…

Q: Consider the following. 4 -4 -2 4 Use the Vertical Line Test to determine whether the curve is the…

A: According to vertical line test, a curve is said to be a function only if a vertical line is drawn…

Q: a. Write the converse and contrapositive of the proposition "If the machine of my car has no defect…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: To find critical point of a function, 1) just find y' 2) y'=0 3) solve for x.

Q: y 15 15 10 10 5- - 10 -5 10 -10 -5 5. 10 -5 5 - 10 - 10 -15 -15 Determine the interval(s) for which…

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Q: 4 2 2-10 1 2 $67 -2 -4 -6 a. Estimate f(2). b. Estimate x such that f(x) = -4. c. State the domain…

A: a.   from graph, we can see f(2)=2  f(2) is a value of y at x=2   b. f(x)=-4 from graph here y=-4 at…

Q: 5. Let g be the function given by g(x) = x4- 4x3 + 6x2 - 4x + k, where k is a consta A. On what…

A: Here, the given function is: g(x)=x4-4x3+6x2-4x+k where k is the constants.

Q: 6. 4- 2 -6 -5-4 -3 -2 -1 1 2 3 456 -2 -6+ Write the domain of the function using interval notation.

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Q: Which tables) can represent values of a function? Select all that apply. Input 5 8 -8 -3 2 Output 12…

A: If a given set of input and output is said to be a function values, each input value has one and…

Q: ESTION 4 hoose the set of numbers that you should plug in to find the absolute maximum and minimum…

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Q: 5 80 50 80 70 70 1 60 60 1 2 3 4 Counter map for a function f is given in figure. Which of the…

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Q: 0 2 4 6 8 10 12 f(x) =|-16-12 -10 -8 -7 -8 -10 . Estimate f'(2) using the values of f in the table.…

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Q: 6+ 5. 3 2- 6-5 4 -3-2 1 2 3 4 56 -2 -3 -4 -5 -6 - Write the domain of the function using interval…

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Q: 3- -5 -4 -3 -2 -1 I 2 3 4 5 -2 -3 At the point shown on the function above, which of following is…

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Q: 6+ 4 3. -65 43-2 1 1 2 3 4 5 6 -2 -3 -5 Write the domain of the function using interval notation. 1.

A: The domain of a function is defined as all the x values at which the function is defined.

Q: 4.3 determine intervals in which function is concave up or concave down. Find x values  of any…

A: We have given

Q: 5. Let g be the function given by g(x) = x4 – 4x3 + 6x² – 4x + k, where k is a constant. %3D A. On…

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Q: 15. True or False: The relation is a function. 15 -4 -7 12 7

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Q: 41) Determine the intervals over which the function is increasing, decreasing, or constant. f(x) =…

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Q: 10 7. 4 2. segment 3 -10 -9 -8 -7 -6 -5 -2 -1 6. 8 7 9 10 -10 The function is v on the interval < x…

A: Just observe the graph and movement of function

Q: 15. True or False: The relation is a function. 15 0. 4 -7 12

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Q: HEIGHTS (INCHES) FREQUENCY () 190-192) 193-195 18 196-198 42 199-201 27 202-204 8. What are the true…

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Q: 10 6 3. 10-9-8 -7 7 B 9 10 -3 6 -7 -8 10 Which best describes the domain of the function? all real…

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Q: -14 (-7,49) 50- (7,-49) Determine the largest open intervals of the domain over which the function…

A: Graph of the function is given We have find the interval on which the function is decreasing and…

Q: Considel uie TOIOWIng giapni. 4 3 -2 1t 1 4 6. (a) Find the interval(s) on which f is increasing.…

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Q: -8 6. 8 -8 (a) Where is f(x) 0? (d) Where is f(x) > 0? (e) Where is f(x) negative? () Where is f(x)…

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Q: 9. What is the set of all possible inputs of a function? B. domain A. amplitude C. function D. range

A: Topic = Function As per guidelines , At a time only one question  can be answered.

Q: 8. Consider what happens to a relation when the coordinates of all its ordered pairs are switched.…

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Q: {(3. 7), (4, -2). (5. -1). (8. 7) The set of ordered pairs is O Not a function O Afunction One to…

A: Draw a diagram to show the relation between elements in domain to the elements in co-domain.

Q: O f (x) = x² Which among the choices have the operation on function that is equivalent to x + 5 O f…

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Q: 1. 9. 6+ 4- 3. 2- 7- -2 Write the domain of the function using interval n Basic Interval

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Q: What are all absolute and relative extreme values of the functionf (x) = 2x on the interval [-2, 2]?…

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Q: 51 3- 2- 1 -4 3 -2 -1 2 3 4 -1 -2- Which of the following intervals is the function decreasing? O…

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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

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.