Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) x2 y = x² - 9 (-00,3) (3,00) Your answer cannot be understood or graded. More Information y 6 4 2 -6 4 6 -2 -4 -6

Q: Function A Anumber y, is 3 less than twice a number, x. Function B Y -4 -3 -2 3. Functior C x-y 8

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Q: Determine the interval of this function's DOMAIN. No solution (-5, -1) (-0o, c0) (-00, -3)

A: since this parabola is vertical therefore standard equation will be(x-h)2=4a(y-k)where…

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: 12 - y = | 4-x | Which of the following is the value set of the function? A) (-∞, 0) B) (-∞, ∞)…

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Q: Use the horizontal line test to determine whether the function is one-to-one. y = /x -3 Is the…

A: Consider the graph

Q: 34. What is the y-intercept? 35. What is (are) the x-intercept(s)? 36. What is the domain of the…

A: Since multiple questions are posted only the first three questions will be answered. Kindly resubmit…

Q: Consider the following. y 5 3 1 -5 -4 -3 -2 1 1 3 4 -1 -2 -3 -4 -5 Use the Vertical Line Test to…

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Q: 1-For what values of x is the function f(x)=-x2-2x+15  decreasing? A)(-infinity,-2].…

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Q: A function is shown in the table below. f(x) -4 -1 -4 -2 3 16 If included in the table, which…

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Q: Determine where the function is (a) increasing, (b) decreasing, and (c) determine where relative…

A: From the given function: y=9x-x2+3 First, find the derivative of the given function.…

Q: see the question   as attached here :-

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Q: Does the Equation: 5x – 6y = -1 .. Represent a Relation? . Represent a Function Explain (in brief)…

A: Solution...

Q: 1. Give an example of a multivariable function that you might encounter in your everyday life. Don't…

A: A function is called multivariable if its input is made up of multiple numbers. ... Visualizing…

Q: Let R = {(n, −n) | n ∈ Z and n ≤ 0} ∪ {(n, n + 1) | n ∈ N}. Is R a function? Justify your answer.

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Q: 1. Describe the function. What is the domain? (x,y)= \x² + y² - 4

A: Please see the explanation below

Q: Which is the rule for the function table? * -1 01 2 41 10 13 O y - 3x +7 O y - 2x + 8 O y - x+ 11 O…

A: Given : A function table. We have to determine which function follow the given table.

Q: 3. Using the interval notation, find the domain of the following functions (show all work and…

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Q: 4. Which point in the graph is the function continuous? c. 5. What interval is the graph above…

A: 4. point "d" is continuous because it left and right side values are equal to eachother and to d…

Q: Which statement best describes the function shown in the graph? 3 210 1 2 4. O A. The function is…

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Q: Q2:Suppose a curve passes through the points (0,-4), (0.6,-3.64), (1,-3) find the value of x when…

A: Plz like ? Let y is a given curve then- y =  f(x)  =  ax² + bx + c =  -3.5  ax² + bx + c = -3.5…

Q: The domain of the function V2.5 - I OR{2.5} O (-∞,2.5) [0, 0) O R 00,0)

A: To find the domain

Q: Be careful with the a- value! It should represent the y-intercept of the function (i.e. the y-value…

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Q: What is the end behavior for the function? 4-2 24 -2 as x → o, y → as x → -0o, y→

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Q: 2- (4x+3y)= -4 (y+1) Is this a function? Explain.

A: Yes, given expression is a function.    Given,    2- (4x+3y)= -4 (y+1) 2 - 4x - 3y = -4y -4 Adding…

Q: Write an equation for the function that includes the points. X F(x) -4 0.53 -3 5.3 -2 53 -1 530

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Q: Ay 10- 4- -10 -B -6 -4 -2 2 8 10 -2 4- -6 -8- 40

A: As you can see the graph of y=x^3 (red curved line)  If we shift the origin at (-4, -3) , we will…

Q: Find coordinates of relative extremes of the function. Give answer with fraction in lowest terms (x)…

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Q: (ii) f (æ) =| -a²+ 2æ³, -æ² – 2a®, -1 <æ<0 -x? + 2x³, 0 < x <1

A: Given function is fx=−x2−2x3,   −1≤x≤0−x2+2x3,      0≤x≤1 To determine whether the above function is…

Q: . Determine f(r)= r3 – or-1 the absolute maximum values of the function where rE l-2 31

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Q: State the points of inflection for the graph of f(x) below. Explain how you know. 4 2 4 4 2 -4

A: Points of inflection is the point at Which doubled derivative is zero.

Q: Find the open intervals where the function is increasing and the intervals where the function is…

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Q: What is the discontinuity of the function f(x) = х? -3х- 28 , x+4 O (-7, -14) O (7, 0) O (4. –3)…

A: We will find the point of discontinuity.

Q: A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to…

A: For the minimum cost, find the critical x by solving C'(x) = 0…

Q: y-intercept What is the y-intercept of the function h(x) =x-1? 10 (0,-1) Edit my response 5 Explain…

A: The given function is: h(x)=x-1

Q: Find the domain of the function. (Enter your answer using interval notation.) u + 9 f(u) 9 + u +9…

A: We have to find domain

Q: The function y= 4-x is increasing (-2, 0) and decreasing (0, 2) on on

A: If derivative greater than 0 then increasing and of derivative less than 0 then decreasing

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: Find the domain of the function. (Enter your answer using interval notation.) 36 - t2 6 - t H(t) =…

A: Given function is: H(t) =36-t26-t

Q: Find the domain and range of the function. (Enter your answer using interval notation.) f(x) - x2 +…

A: Find the domain and range of the function f(x)=x2+5

Q: 1 f (x, y) = x² + y²x- x 2

A: The extremum values of the functions can be calculated using the second derivative test. For that…

Q: aph the function g(x) = x* + 2, if x < 1 Is the function continuous? Explain. x +2, if x 2 1

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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: 19. What is the range of the function? 0 <y<o0 -00<y<0 -00<y < 2

A: Graph is given there so for range we have to check the variation of function in y axis. So. Clearly…

Q: 4 21 -4 -2 0. 2. 4 -2

A: We are given the graph of a function and we are required to find whether the function is even, odd…

Q: Find the domain and range and the interval on which function is increasing and decreasing.

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Q: 3. Find the value of the constant k that makes the function continuous fx? – 6, – 6, x 6 | f(x) = x…

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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.