Find the point(s) of discontinuity of the following functions. x2+3 1. x2-16 x²-3x 2. x3+2x2+5x 3(x+2)2 3. x+4x+x-6

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

A: (a) f(-3) as you can see from the equation for x&lt;0  f( x ) = 5x+5 f(-3) = 5(-3)+5         = -15+5…

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 at the indicated values. 5x if x 3 f(-5) = f(-1) f(2) f(3)…

A: solution:-f(x)=5x            if x&lt;-1x+5        if -1≤x≤3(x-3)2     if…

Q: Evaluate the piecewise function at the given valu 2x+ 4 if x<0 f(x) = %3D 2x+5 if x2 0 (a) f(-4) (b)…

A: Given f(x)=2x+4 for x&lt;0 and 2x+5 if x≥0f(-4), here -4 is &lt;0. So, we have to substitute -4 in…

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

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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: - Find and classify the discontinuities of the function f(x) x2 - 1

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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 function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

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: 1 Suppose that f is a function given as f(x) = 2x -7

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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: 3. Find the domain for the following functions: - 1+x 1- f(x) = . 2- y = |x| -4x

A: To find the domain of the given functions

Q: Find the domain of the following function y(x)=2In(x-1)

A: The given function is: y(x)=2ln(x-1) To find the domain of the function.

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

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

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Q: Evaluate the piecewise defined function at the indicated values (4 2x - 6 if x > 2 if xs 2 f(x) =…

A: We will find value of function one by one

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

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Q: 3x +2, if x <1 f (x) = 2x+3, if x 21

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Q: x² +2x+1, if x -2

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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: Find the range of these functions 1. y=(x+2)/(x^2-4) 2. y=√(x^2-x-2) 3. y=(15-x)/(x^2+3x-4) 4.…

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

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Q: Evaluate the piecewise function at the given value of the independent variable. f(x) = (4x +3 if x<2…

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Q: Which of the following equivalent forms of the function  f(x)=4x2+4x−24f(x)=4x2+4x-24 is the most…

A: This question is based on middle term splitting.

Q: 2. Determine whether the function is one-to-one. (a) y = 4x2 + 3 %3D (b) y = Vx + 3 – 5

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Q: 2. Determine if the following function is differentiable. x² +10, x <4 f(x) = 8x-6, x24 wwww

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Q: Express h(x) as a composition of two functions: h(x) = √(x2 + 5)

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Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Q: Find the interval in which the following function is positive: 3. -1 1 2 3 6 -1 -2 -3 4)

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Q: Evaluate the piecewise defined function at the indicated values. 3x if x 4 f(x) = {x + 3 f(-5) =…

A: Function value

Q: Evaluate the piecewise function at the given values of the independent 2x + 4 if x< 0 f(x) = 4x +6…

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Q: Determine the domain of the following functions. 3. (x) = x+3 4. f(x) = 5-

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Q: Calculate the locations of maximums and minimums of the following functions: f (x) = x – 3x + 2 f…

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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: State the domain of the following piecewise function. 4 3 2+ 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -2 -3 +…

A: The solution is given as

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: Evaluate the piecewise function at the given value of the independent variable. f(x) = [x - 1 ={x -…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(-5)…

Q: Graph the piecewise-defined function. S-4x ifx 0 f(x) = 4 y y 4 4 2 -2 y y -2 2 4 -2 2 4 -2 -2 -4…

A: Here we draw the piecewise function graph.

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: (x(x+1), if x -2 f(x) ={ 4x+5, if -2くxく1 - 2x +3, if x 21

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Q: Evaluate the piecewise defined function at the indicated values. f(x) = 5        if x ≤ 2…

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Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a&lt;c&lt;b.…

Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: Find the rule of the function associated with the following table. 1 2 3 y 1 2 4 8 Oy = 2(2)* Oy =…

A: Given, The data table between x  and y  We have to find the function associated with the table.

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: Find all points of discontinuity for the following function. -2 x+4 f(x) = 2x-7 Worksheet X =

A: Given : f(x) = (-2x+4) / (2x-7)  To find : Discontinuity

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

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