Question2 Evaluate the piecewise defined function at the indicated values: if x <-1 if – 1 1 f(-4), 1- f-1),f(0), and f(25).

Q: (2x+5 if x<-1 6. Sketch (By Hand) a graph of the piecewise defined function: f(x)=- 5-x if x2-1

A: The domain of the first piecewise function f(x) = 2x + 5 is all values of x which are less than…

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

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Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

A: Definition used -           Quadratic function -            The graph of a quadratic function is…

Q: From each corner of a square tin, 12 inches on the side, small squares of side x are removed and the…

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Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

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Q: The graph of the function f(x) = /x Is stretched vertically by a factor of a and is translated3…

A: Shifting or transformation of graph is very useful. When a graph is shifted or stretched or…

Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: Question3 Find the net change in the values of function between the given input. f(x) = 1- x² from…

A: Using net change in the function formula.

Q: 7. Graph the piecewise function: x<3 f(x)={ 1 3<x x- 3

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Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: 1. Let f(x) = -(x - 3)2 + 1. Find the vertex. Give the range of the function.

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Q: but f'(x) is never equal to 0. Why

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Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

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Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

Q: -9x+10 2. Let f(x) = Determine if the function is continuous and show the graph of the function. x-2

A: Let's find.

Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

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Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x&lt;-13if  x=-1-3if  x&gt;-1

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: Need help with the entirety of the problem.

A: Given the characteristics of the graph of a function:

Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

A: Consider the function  f(x)=-x2+3x-2 Using a graphing calculator, the graph of the above function…

Q: 4. if x -3 8 Step 1 of 3: Identify the general shape and direction of the graph of this function on…

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Q: Question 1 Determine if the function below is continuous at x=9. Give reasons for your answer. F(x)…

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Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The given function is fx=1x+2if x≠-21if x=-2. Note that limx→-2fx does not exist. This implies that…

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: fx=1-x2    if  x&lt;11x       if  x≥1 To check the continuity at a = 1. we find the left hand and…

Q: Find f-1(x) for the function. f(x) x + 7 f-1(x) = | x + 1

A: find the inverse of given function

Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

A: This question is taken from Derivative in which we have to find the derivative of the given…

Q: 6. Sketch the graph of the function having the given characteristics. f(-6) = f(4) = 0 f'(-2) =…

A: Given the characteristics of the graph of a function:

Q: Q. No. 2 a) Sketch the graph of function f(x) (2x-3 if -3SI<0 S(x) ={r if OSI<2 2sr55 if

A: the given function is: fx=2x-3     if   -3≤x&lt;0x2           if  0≤x&lt;2x          if  2≤x≤5 we…

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: 0 if a 1

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Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

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Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The function is given , fx=x2-xx2-1 ,  if x≠11,     if x=1 for a=1. To check the function…

Q: 9) Sketch the graph of the piecewise function below. 4 IS-7 -7 3

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Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: 0. if a 2

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Q: 4 if x < -3 k(x) = Vĩ if x 2 -3 2 of 3: Identify the general shape and direction of the graph of…

A: On the interval [-3, infinity) k(x) = (7/8)(x)1/3

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: . Graph the function  f(x)= { 3     for x≥ 1          { -4-x  for x<1

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Q: find the domian of the function. verify your result with a graphing calculator table or graph f(x)=…

A: Given function f(x)=x-2x+3

Q: Need to find local and absolute maxima and minima for the equation: f(x)=(x-2)/(x^2-1) on the…

A: Local maxima is a point f(a) on function f, a with in the domian of f, such that f(a) ≥ f(x) for all…

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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Q: 6. Graph the piece-wise function: f(x) = {[x] + 1 3-x if -3 ≤ x ≤0 if 0 < x≤ 3

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Q: Find the domain and range of the function: 1 1- V5 - x

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Q: 11) Sketch the graph of the piecewise function below. |x +81+3 f(x) ={-(x- 1)² - 3 -5<x<3 2/3x + 2…

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