Refer to the function g(x)=[x] dertemine g(-2.4)

Q: Sketch the graph of the function f(x) = ln 2x  and state its domain.

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Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl + 3.

A: g(x)=|x|+3= f(x)+3 So, this means f(x) shifted 3 units up to make g(x).

Q: find The domain of tHhe function fCメ=-

A: This is a function with a square root, so we will be using the concept of square root function for…

Q: Sketch the graph of the function f(x). f(x) is continuous from the right at x = 3, but not from the…

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Q: 11. f(x)=3x -4x+2 at x 2

A: We have to  solve the ist question as per guideline Please repost other question again

Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

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Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x>-5

Q: The following represents the graph of the derivative f'(x) of a continuous function.

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Q: Sketch the graph of the function f(x) = ln x − 3 and state its domain.

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Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

Q: Differentiate the function. h(x) In x + x² – 7

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Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: Draw the graph of a function that is symmetric with respect to x = 2.

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Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

Q: On which interval is the function f)= -x- increasing?

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Q: Differentiate  f and find the domain of f f(x)  =   x / ( 1 -  ln (x-1 ))

A: Given: fx=x1-lnx-1 we know that domain of given function is  1-lnx-1≠0lnx-1≠1…

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

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Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: Determine whether  the following statement is true or false, and explain why. If ƒ″(x) > 0 on an…

A: If the second derivative of a function f(x) is defined on an interval (a,b) and f ''(x) > 0 on…

Q: Let g be a function that is defined for all x, x 2, such that g(3) = 4 and the derivative of g is x²…

A: The interval where second derivative of function is positive, is the interval where the function is…

Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: An even function is symmetric with respect to the________

A: An even function is symmetric with respect to the________

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: X- e.

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Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Differentiate the function. h(x) = In(x + V - 12

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Q: Is (x^6)*cosax a even or odd function?

A: Given function is To find: is even or odd function. For even function For odd function

Q: find domain of Function composition f(x)=,

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Differentiate the function. f(x)  = In 1/x

A: Given: The function fx=ln1x, To find: The differentiation of given function.

Q: please solve it and show yor work

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Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = -lxl.

A: The given function is fx=x.

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: Redefine the function f to make it continuous at x = 0. -8x + 36 + x (х — 4) ; x + 0,4 f(x) = 4; x =…

A: Consider the condition for continuity.

Q: sform the graph of f(x) into that of 7) flz) = |x| g(x) = 2|x +1|

A: Solution:-