Use the graph shown in the figure. Insert the proper inequality symbol (< or >) between the given quantities. (5, 6) 6 4. y 3 (1, 2) 1- 2 3 4 6 f(5) – f(4) (a) 5 - 4 f(5) – f(1) 5 - 1 ? f(5) – f(1) (b) 5 - 1 ? f '(1)

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 2x + 7, which expression has the greatest value?…

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Q: ch of the following relations is not a function? {(1,3), (2, 3), (3, 5), (5, 5), (6, 10), (-5, 10)}…

A: Given query is to find which relationship is not a function.

Q: 8 Use the information above to graph the function f(x) = x³ + 3x² Y 7 6- 5

A: We need to draw graph of given function.

Q: 4. Consider the function: h(x) = = Evaluate the following: (a) h(-5) (b) h(-4) (c) h(-2) (d) h(-1)…

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Q: (6x - 5, -x2, X -5 f(-1) = %3D

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Q: Use the graph of f(x) to estimate (3). 10 -10 3 6 4 68 10 * O (3) = -9 O(3) = -8 O(3) = 8 O (3) = -7

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Q: 5. a) Find the slope and intercepts and then sketch the graph of the given function. 4 f (x) = --x +…

A: Given,           fx=-43x+4To find :  The slope and intercepts and then sketch the graph of the given…

Q: 3 find 6. Given f(x) %3D - (a) f(1); (b) f(-3); (c) f(6);

A: Given that, the function is fx=3x. Note that, the function fx=3x exist for all values of x except…

Q: Use the function h(r) = 5r-20 for exercises 36-40. 36. State the independent variable. 37. State the…

A: Given that, h(r) = 5r-20    and  domain is {-5, 0,5,10} Then the range of h(r) will be the set of…

Q: Which function has the same graph as f(x)% 3 214x- 6| + 18? O A (x) = 214x - 6|- 18 O B. (x) = 4|2x…

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Q: 2

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Q: The interval for function 5x - 3 < 7- 3x is .2

A: Given : Function 5x - 3 ≤ 7 - 3x 5x - 3 - (7 - 3x) ≤ 0 5x - 3 -7 + 3x ≤ 0 8x - 10 ≤ 0 8x ≤ 10 x ≤…

Q: 10 18 -10-8 -6 -4-2 0 4 6 8 10 :2 -6 -8 Which could be the function rule for this graph? O f (1)…

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Q: 13. Is the following the graph of a function? Why or why not? 14. For the function f(x) = x² + 5x –…

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Q: Consider the following. f(x) = x³-6x² + 3 (a) Find f'(x) and f"(x). 3x² - 12x f'(x) = f"(x) = 6x -…

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Q: -4x² – 16x + 2; x # –7 f(x) = {"* -2; x = -7 A. -2 < y< 18 В. у S -2 С. y < 18 D. -2 < y< 18 E. not…

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Q: I. Differentiate each function using chain rule. 1. y (2x3 + 1)5 2. y=x² + (4x5 – 5)3 3. y = (-2b8 +…

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Q: 11. Given f(x) = 2x² + 1 and g(x) = 3x – 5, find the following: a. f(g(2)) b. f(g(x)) c. g(f(x)) d.…

A: From the given data:

Q: 65. Use the graphs of f and g to evaluate each expression. If the result is undefined, explain why.…

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Q: f(x) 2.3*- 3 (a) 9- 5. 2. 3.

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Q: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 |…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: f(x) $(-4)=1 f(3)=4 §) WHAT IS THE FUNCTION f6x)? (BONUS) $lx) = 2.

A: Let, the piecewise curve be 1,2,3,4 as shown below-

Q: ++31 + 4, if x s-3 f(X) = < 4, if-3 <xs2 x?, if x 2 2 5.

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Q: 5. f(x) = (x+3)²(x-2)(x+1)- continued e) Graph the function. f) Determine the domain and range of…

A: Ok

Q: Determine the range to the function f(x.y)=xtX.if the domain is given by the inequality 2x²+y²s4

A:

Q: 5. Given that f(x) = 7 x2 – 6 x+ 5 and g(x) = 7x+ 1, find f(5) and g(f(5)) a. f(5) b. g(f(5)) for x…

A: Please refer the attached image for complete solution.

Q: Lijah opened an account at Advantis Credit Union. The balance of her account after x years is…

A: The balance in the account after x years is represented by the function bx=5001.05x. a. Consider,…

Q: - Use the graph of the functionf to find all the values of x such that f(x)=2 %3D 本y 10- 8- 6- f(x)…

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Q: (a) Define piece-wise defined function. The function f is defined as x + 3, -2 sx 2 Find the domain…

A: The objective is to define piecewise defined function and find the domain and intercepts  of f and…

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.