Find the long run behavior of each of the following functions. If the function goes to o or -o, enter INFINITY or -INFINITY. (a) As x → -o, 6x-4 → (b) As x → o, (26 – 5x") →

Q: Approximate the instantaneous rates of change at each of the zeros of the function  f(x) = x^4 -…

A: Solution

Q: Evaluate the piecewise-defined function. 4x if x< 0 f(x) = 7- x if 0 Sx< 4 |x| if x 2 4 (a) f(-0.5)…

A: Given: fx=4xif x&lt;07-xif 0≤x&lt;4xif x≥4 a) f(-0.5) Here -0.5&lt;0⇒x&lt;0⇒fx=4x⇒fx=4-0.5⇒f(x)=-2

Q: Consider the following function: 3x 10z - 17 1 - 10x -1 f(x) = 17 10 2 13 1 a) What is the highest…

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 4x+4 if x0 (a)…

A: f(x)=4x+4if x&lt;03x+6if x≥0  we have to find,f(-2)f(0)f(1)

Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

A:

Q: Determine h(x - 1) for the following function. - 3x h(x) = x2 - 2x-3 %3D

A: Given function is

Q: Find the points of discontinuity of the given function. (x + 2 f(x) = { x (x + 5 if 0<x<1 if if 2<x<…

A: Given: fx=x+2if0≤x&lt;1……1xif1≤x&lt;2……2x+5if2≤x&lt;3……3   To find: Point of discontinuity of above…

Q: 6) Find f'(-2) for each of the following functions.

A:

Q: Describe the long run behavior of f(t) = (t – 1)(t + 3)°(t – 5) As t → - 00, f(t) – 00 As t + o,…

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Q: Determine h(x−1) for the following function. h(x)=-6x/x2-x-20

A: Given function, h(x)= -6x/xv-x-20 We have to find, h(x-1)

Q: Compute the exact value of the function for the given x-value without using a calculator. f(X) 7.5x…

A: To Compute the exact value of the function f(X) 7.5x for x =0

Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

A:

Q: Find the point(s) of discontinuity of the following functions. x2+3 1. x2-16 x²-3x 2. x3+2x2+5x…

A: The rational polynomial y=f(x)g(x)is continuous for all real x except such x where g(x) = 0. (1) The…

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +3 if x<0 f(x)…

A:

Q: For which of the following decreasing functions f does (F')'(10) = - ? 8. A f(x) = –5x + 15 В f(x) =…

A: Consider the provided question, Given, f-1'10=-18 We know that,f-1'fx=1f'x    ......(I)Compare (I)…

Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

A:

Q: Find the rms of the following function: f(x) = 2x+ x², a = - 1, and b=3

A: To find the rms of the function

Q: Evaluate the piecewise function at the given values of the independent variable. 3x +4 if x<0 f(x) =…

A:

Q: Consider the following two functions: In(x + 3) and x 0.4 Which function dominates as 0.4 0.4 00?…

A: Given that: Two funcitons: ln(x+3) and x0.4

Q: Find the value of the constant bl that makes the following function continuous on (-00, 00). if x 6…

A: The given function is fx=2x-6if x≤6-3x+bif x&gt;6. it is given that, the given function is…

Q: Determine h(x2) for the following function. h(x)=−2x/x2-x-6

A: h(x)=−2x/x2-x-6

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: Calculate the output for the function with he given input. If there is no possible output for the…

A: The given function isfx=xx-1. Here function fx is not defined if x-1=0. x-1=0x=1 So, the function is…

Q: Consider the following function: - 9x2 + 9x + 10 if x < 5 | f(x) = 6x2 – 9x – 8 if x 2 5 Step 1 of…

A: If the limit of a function f(x) are not equal as x→c from the left and right i.e.…

Q: Suppose a population of bacteria in a contained environment have a high of 3600 bacteria every 72…

A: Exponential functions are of the form y=ax and the domain of these numbers is R - {1} as if a…

Q: For the following function : 4 • <t<1 - f.(.t.)..==. [² 1<t<2

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 5x + 3 if x 0 (a)…

A:

Q: Consider the following. (x² - 2, f(x) = xS0 5x + 2, x > 0 Sketch the graph of the function. y y 10…

A: Given f(x) = x2-2,x≤05x+2,x&gt;0 We know, when the two-sided limit exists, but is not equal to the…

Q: Determine f (x-1) for the following function. f(x) 3 Vx-4+8

A:

Q: Find f'(1) for the following function

A:

Q: Determine f(x - 1) for the following function. f(x) = Vx + 8 – 3

A: Given: f(x)=x+8-3

Q: Find y . 4 for the following function In (xx2+,

A: Given function :

Q: Match the graph to one of the listed functions. 2 -2 -2+ O f(x) = x2 + 2x + 2 %3D Of(x) = x-- 2x + 2…

A: Solution : We have given the graph of a parabola. Which vertex at point (1,1) and we need to find…

Q: Evaluate the function for the given values of x. -4x+6 for x <-1 h(x) = ²+3 for -1<x< 4 for x24 Part…

A: To evaluate the functional value of x:

Q: Evaluate the piecewise defined function at the indicated values. 4x if x 5

A:

Q: Evaluate the piecewise function at the given values of the independent variable 5x +3 if x<0 f(x) =…

A:

Q: Graph the following functions. 5) f(x) = (x - 4)2 6) g(x) = (x + 3)² – 5 9. 5- 41 3. 21 4- 3- 2- 1-…

A: f(X) = (x-4)2 g(X) = (X+3)2 -5

Q: An electric company charges its customers $0.0577 per kilowatt-hour (kWh) for the first 1000 kWh…

A: We have to write the piecewise-defined function C for a customer’s bill where x is per kWh.  First,…

Q: Find thex-coordinate of the point(s) of discontinuity of the following functions -16 x3 f(x)= 16x-4,…

A: For x&lt;=3 , f(x)= -16 , it is continuous for all values of x &lt;3.16x-4 is continuous for…

Q: Graph the following piecewise function. (3 for – 4 3 4.

A:

Q: Determine h(x - 1) for the following function. - 2x h(x) %D x2 - 8x + 15

A: The function is an expression, which gives output values (function values) for each inputs which are…

Q: determinetheinverseLaplacetransform of the given function.

A:

Q: Determine h(x- 1) for the following function. - 2x h(x) : x² + 2x 15

A: We will plug x-1 in place of x.

Q: 9. For the following piecewise function, find f(-4). [2x+1 f(x)=1-2x+3 if x21 if x<1

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Q: For what value (s) of x is the function f(x)  -4 if  x ≤ -5…

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Q: Evaluate the piecewise function at the givern values of the independent variable 5x+3 if x<0 f(X) =…

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Q: Determine  h(x2) for the following function. h(x)= 4x/x2-4x-12

A: Given h(x) =4x/x2 -4x-12 Here we find h(x2)

Q: Evaluate the given piecewise function at f(2) (x) = 3x + (- 2x -5 if x>-1 if x<-1 A. -9 В. -8 С. -3…

A: Given the piecewise function is f(x) = 3x+1if x&lt;-1-2x-5if x≥-1 We have to find the value of f(2).

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…

Q: Determine the end behavior of the following function as x→−∞. s(x)=−2x^5+5x^3+7x^2

A: